Deck 8: Sets and Logic

ملء الشاشة (f)
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سؤال
Let Let   The cardinality of S is 6.<div style=padding-top: 35px> The cardinality of S is 6.
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سؤال
List the set in roster form. { <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is a natural number greater than 15}

A) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Let Let   .  <div style=padding-top: 35px> . Let   .  <div style=padding-top: 35px>
سؤال
Specify the set by description. <strong>Specify the set by description.  </strong> A) { letters in the word pencils } B) not the letters in any English word C) {letters in the word lincs } D) { letters in the word pens } E) {letters in the word pencil } <div style=padding-top: 35px>

A) { letters in the word pencils }
B) not the letters in any English word
C) {letters in the word lincs }
D) { letters in the word pens }
E) {letters in the word pencil }
سؤال
Let Let   .  <div style=padding-top: 35px> . Let   .  <div style=padding-top: 35px>
سؤال
Specify the set by roster. {U.S. president in 2011}

A) {Obama}
B) {Reagan}
C) {Bush}
D) {Carter}
E) {Clinton}
سؤال
Let Let   N is equivalent to L<div style=padding-top: 35px> N is equivalent to L
سؤال
List the set in roster form. <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> }

A) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Let Let   .  <div style=padding-top: 35px> . Let   .  <div style=padding-top: 35px>
سؤال
Specify the set by description. <strong>Specify the set by description.  </strong> A) {multiples of 4 greater than 39} B) {even counting numbers greater than 39} C) {multiples of 10 between 39 and 4,001} D) {numbers greater than 39 with a first digit of 4 and other digits of 0} E) {counting numbers greater than 39} <div style=padding-top: 35px>

A) {multiples of 4 greater than 39}
B) {even counting numbers greater than 39}
C) {multiples of 10 between 39 and 4,001}
D) {numbers greater than 39 with a first digit of 4 and other digits of 0}
E) {counting numbers greater than 39}
سؤال
Consider the sets. <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> {four} <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> {letters in the word bush } <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> {5} <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> {4} What is the cardinality of each set?

A) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ;
B) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ;
C) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ;
D) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ;
E) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <div style=padding-top: 35px> ;
سؤال
Specify the set by roster. {Counting numbers greater than <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> }

A) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Specify the set by roster. { letters in the word math }

A) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Let Let   N = S<div style=padding-top: 35px> N = S
سؤال
Specify the set by roster. {even counting numbers less than 12}

A) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Specify the set by description. <strong>Specify the set by description.  </strong> A) {even counting numbers less than 192} B) {counting numbers greater than 100} C) {odd counting numbers less than 191} D) {counting numbers between 100 and 191} E) {counting numbers less than 190} <div style=padding-top: 35px>

A) {even counting numbers less than 192}
B) {counting numbers greater than 100}
C) {odd counting numbers less than 191}
D) {counting numbers between 100 and 191}
E) {counting numbers less than 190}
سؤال
Specify the set by roster. {Positive multiples of 8}

A) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Specify the set by description. <strong>Specify the set by description.  </strong> A) {multiples of 5 between 0 and 150} B) {counting numbers between 10 and 140} C) {multiples of 10 between 0 and 150} D) {counting numbers less than 141} E) {even counting numbers less than 141} <div style=padding-top: 35px>

A) {multiples of 5 between 0 and 150}
B) {counting numbers between 10 and 140}
C) {multiples of 10 between 0 and 150}
D) {counting numbers less than 141}
E) {even counting numbers less than 141}
سؤال
Specify the set by description. <strong>Specify the set by description.  </strong> A) {numbers less than 7} B) {counting numbers less than or equal to 7} C) {counting numbers less than 7} D) {whole numbers less than 7} E) {odd counting numbers less than 7} <div style=padding-top: 35px>

A) {numbers less than 7}
B) {counting numbers less than or equal to 7}
C) {counting numbers less than 7}
D) {whole numbers less than 7}
E) {odd counting numbers less than 7}
سؤال
List the set in roster form. <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> }

A) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Specify the set by roster.
{Positive multiples of 3}
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
Specify the set by roster.
{Counting numbers greater than 142}
سؤال
Specify the set by roster.
{U.S. president in 2010}
سؤال
Let Let   Which sets are equal? Which sets are equivalent? What is the cardinality of each set?<div style=padding-top: 35px> Which sets are equal? Which sets are equivalent? What is the cardinality of each set?
سؤال
Consider the sets. Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> {letters in the word dog } Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> {4} Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> {three} Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> {3} Which of the sets can be placed into a one-to-one correspondence with Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?<div style=padding-top: 35px> ?
سؤال
Specify the set by roster.
{letters in the word son }
سؤال
Specify the set by roster.
{even counting numbers less than 12}
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
A set is defined to be a collection of objects.
سؤال
Do the following sets have the same cardinality?
{48, 49, 50, ..., 818, 819}
{485, 487, 489, ..., 1,969, 1,971}
______________________________
( They have the same cardinality . / They do not have the same cardinality .)
سؤال
Consider the sets. Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> {letters in the word pen } Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> {4} Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> {three} Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> What is the cardinality of each set? Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px> Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            <div style=padding-top: 35px>
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
Do the following sets have the same cardinality? {48, 49, 50, ..., 59, 60}
{485, 487, 489, ..., 513, 515}

A) They do not have the same cardinality.
B) They have the same cardinality.
سؤال
Consider the following statement.
A set is defined to be a collection of objects.
سؤال
Consider the sets. <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> {letters in the word pills } <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> {6} <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> {three} <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> {3} Which of the sets can be placed into a one-to-one correspondence with <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> ?

A) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Specify the set by description.
Specify the set by description.  <div style=padding-top: 35px>
سؤال
Consider the following statement. Consider the following statement.  <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px> Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
سؤال
How many subsets are there in a set with <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> elements?

A) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people who have had their wisdom teeth removed, <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
سؤال
What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
{}=\{ \} = \varnothing
سؤال
List all subsets of the following set. K = {6, 7, 8, 9}

A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
B) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
D) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9}
E) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K
سؤال
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of ducks, <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px> Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px> Improper subsets: none
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px> Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none <div style=padding-top: 35px> Improper subsets: none
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of flowers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of flagpoles, <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px> Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   <div style=padding-top: 35px>
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people under age 21, <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
If If   has a cardinality, what is it? Explain.<div style=padding-top: 35px> has a cardinality, what is it? Explain.
سؤال
List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} <div style=padding-top: 35px> {6, 7, 8, 9}
سؤال
How many subsets are there in a set with <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> elements?

A) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
How many subsets are there in a set with How many subsets are there in a set with   elements?<div style=padding-top: 35px> elements?
سؤال
Write the words in symbols: For the sets A and B,
B is a proper subset of A.

A) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
How many subsets are there for a set with How many subsets are there for a set with   elements?<div style=padding-top: 35px> elements?
سؤال
List all subsets of the following set. List all subsets of the following set.  <div style=padding-top: 35px>
سؤال
List all subsets of the following set. List all subsets of the following set.  <div style=padding-top: 35px>
سؤال
Write the words in symbols:
For the sets A and B,
B is a proper subset of A.
سؤال
Write the words in symbols:
For the sets D and E,
D is a subset of E.
سؤال
Write in words what the symbols Write in words what the symbols   mean about sets C and D.<div style=padding-top: 35px> mean about sets C and D.
سؤال
How many proper subsets does the set How many proper subsets does the set   have?<div style=padding-top: 35px> have?
سؤال
Write the words in symbols: For the sets G and H,
G is a subset of H.

A) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
List all subsets of the following set. List all subsets of the following set.  <div style=padding-top: 35px>
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of natural numbers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of integers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
How many subsets does the set How many subsets does the set   have?<div style=padding-top: 35px> have?
سؤال
How many subsets are there in a set with cardinality of 7? Simplify your answer completely.
سؤال
Write in words what the symbols Write in words what the symbols   mean about sets M and N.<div style=padding-top: 35px> mean about sets M and N.
سؤال
How many subsets does the set How many subsets does the set   have?<div style=padding-top: 35px> have?
سؤال
List all subsets of the following set. List all subsets of the following set.  <div style=padding-top: 35px>
سؤال
List all subsets of the following set. List all subsets of the following set.  <div style=padding-top: 35px>
سؤال
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> where <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people in a classroom with blue eyes, <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people in the classroom with black shoes, <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Write the words in symbols:
The empty set is a proper subset of the set E.
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Deck 8: Sets and Logic
1
Let Let   The cardinality of S is 6. The cardinality of S is 6.
False
2
List the set in roster form. { <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)   is a natural number greater than 15}

A) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)
B) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)
C) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)
D) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)
E) <strong>List the set in roster form. {   is a natural number greater than 15}</strong> A)   B)   C)   D)   E)
E
3
Let Let   .  . Let   .
True
4
Specify the set by description. <strong>Specify the set by description.  </strong> A) { letters in the word pencils } B) not the letters in any English word C) {letters in the word lincs } D) { letters in the word pens } E) {letters in the word pencil }

A) { letters in the word pencils }
B) not the letters in any English word
C) {letters in the word lincs }
D) { letters in the word pens }
E) {letters in the word pencil }
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5
Let Let   .  . Let   .
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6
Specify the set by roster. {U.S. president in 2011}

A) {Obama}
B) {Reagan}
C) {Bush}
D) {Carter}
E) {Clinton}
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7
Let Let   N is equivalent to L N is equivalent to L
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8
List the set in roster form. <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   }

A) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
B) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
C) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
D) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
E) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
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9
Let Let   .  . Let   .
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10
Specify the set by description. <strong>Specify the set by description.  </strong> A) {multiples of 4 greater than 39} B) {even counting numbers greater than 39} C) {multiples of 10 between 39 and 4,001} D) {numbers greater than 39 with a first digit of 4 and other digits of 0} E) {counting numbers greater than 39}

A) {multiples of 4 greater than 39}
B) {even counting numbers greater than 39}
C) {multiples of 10 between 39 and 4,001}
D) {numbers greater than 39 with a first digit of 4 and other digits of 0}
E) {counting numbers greater than 39}
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11
Consider the sets. <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; {four} <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; {letters in the word bush } <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; {5} <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; {4} What is the cardinality of each set?

A) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ;
B) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ;
C) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ;
D) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ;
E) <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ; <strong>Consider the sets.   {four}       {letters in the word bush }       {5}   {4} What is the cardinality of each set?</strong> A)   ;   ;   ;   ;   ;   ; B)   ;   ;   ;   ;   ;   ; C)   ;   ;   ;   ;   ;   ; D)   ;   ;   ;   ;   ;   ; E)   ;   ;   ;   ;   ;   ; ;
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12
Specify the set by roster. {Counting numbers greater than <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)   }

A) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)
B) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)
C) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)
D) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)
E) <strong>Specify the set by roster. {Counting numbers greater than   }</strong> A)   B)   C)   D)   E)
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13
Specify the set by roster. { letters in the word math }

A) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)
B) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)
C) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)
D) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)
E) <strong>Specify the set by roster. { letters in the word math }</strong> A)   B)   C)   D)   E)
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14
Let Let   N = S N = S
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15
Specify the set by roster. {even counting numbers less than 12}

A) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)
B) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)
C) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)
D) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)
E) <strong>Specify the set by roster. {even counting numbers less than 12}</strong> A)   B)   C)   D)   E)
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16
Specify the set by description. <strong>Specify the set by description.  </strong> A) {even counting numbers less than 192} B) {counting numbers greater than 100} C) {odd counting numbers less than 191} D) {counting numbers between 100 and 191} E) {counting numbers less than 190}

A) {even counting numbers less than 192}
B) {counting numbers greater than 100}
C) {odd counting numbers less than 191}
D) {counting numbers between 100 and 191}
E) {counting numbers less than 190}
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17
Specify the set by roster. {Positive multiples of 8}

A) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)
B) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)
C) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)
D) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)
E) <strong>Specify the set by roster. {Positive multiples of 8}</strong> A)   B)   C)   D)   E)
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18
Specify the set by description. <strong>Specify the set by description.  </strong> A) {multiples of 5 between 0 and 150} B) {counting numbers between 10 and 140} C) {multiples of 10 between 0 and 150} D) {counting numbers less than 141} E) {even counting numbers less than 141}

A) {multiples of 5 between 0 and 150}
B) {counting numbers between 10 and 140}
C) {multiples of 10 between 0 and 150}
D) {counting numbers less than 141}
E) {even counting numbers less than 141}
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19
Specify the set by description. <strong>Specify the set by description.  </strong> A) {numbers less than 7} B) {counting numbers less than or equal to 7} C) {counting numbers less than 7} D) {whole numbers less than 7} E) {odd counting numbers less than 7}

A) {numbers less than 7}
B) {counting numbers less than or equal to 7}
C) {counting numbers less than 7}
D) {whole numbers less than 7}
E) {odd counting numbers less than 7}
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20
List the set in roster form. <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)   }

A) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
B) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
C) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
D) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
E) <strong>List the set in roster form.   }</strong> A)   B)   C)   D)   E)
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21
Specify the set by roster.
{Positive multiples of 3}
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22
Specify the set by description.
Specify the set by description.
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23
Specify the set by roster.
{Counting numbers greater than 142}
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24
Specify the set by roster.
{U.S. president in 2010}
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25
Let Let   Which sets are equal? Which sets are equivalent? What is the cardinality of each set? Which sets are equal? Which sets are equivalent? What is the cardinality of each set?
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26
Consider the sets. Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? {letters in the word dog } Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? {4} Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? {three} Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? {3} Which of the sets can be placed into a one-to-one correspondence with Consider the sets.   {letters in the word dog }   {4}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ? ?
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27
Specify the set by roster.
{letters in the word son }
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28
Specify the set by roster.
{even counting numbers less than 12}
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29
Specify the set by description.
Specify the set by description.
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30
Specify the set by description.
Specify the set by description.
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31
What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
A set is defined to be a collection of objects.
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32
Do the following sets have the same cardinality?
{48, 49, 50, ..., 818, 819}
{485, 487, 489, ..., 1,969, 1,971}
______________________________
( They have the same cardinality . / They do not have the same cardinality .)
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33
Consider the sets. Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            {letters in the word pen } Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            {4} Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            {three} Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            What is the cardinality of each set? Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?            Consider the sets.   {letters in the word pen }       {4}       {three}   What is the cardinality of each set?
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34
Specify the set by description.
Specify the set by description.
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35
Specify the set by description.
Specify the set by description.
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36
Do the following sets have the same cardinality? {48, 49, 50, ..., 59, 60}
{485, 487, 489, ..., 513, 515}

A) They do not have the same cardinality.
B) They have the same cardinality.
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37
Consider the following statement.
A set is defined to be a collection of objects.
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38
Consider the sets. <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   {letters in the word pills } <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   {6} <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   {three} <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   {3} Which of the sets can be placed into a one-to-one correspondence with <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)   ?

A) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)
B) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)
C) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)
D) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)
E) <strong>Consider the sets.   {letters in the word pills }   {6}           {three}   {3} Which of the sets can be placed into a one-to-one correspondence with   ?</strong> A)   B)   C)   D)   E)
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39
Specify the set by description.
Specify the set by description.
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40
Consider the following statement. Consider the following statement.
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41
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:   Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subset:
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42
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets:   C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets:
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43
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
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44
How many subsets are there in a set with <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   elements?

A) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
B) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
C) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
D) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
E) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
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45
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people who have had their wisdom teeth removed, <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people who have had their wisdom teeth removed,   is the set of people who have had their appendix removed, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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46
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
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47
What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
{}=\{ \} = \varnothing
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48
List all subsets of the following set. K = {6, 7, 8, 9}

A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
B) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
D) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9}
E) <strong>List all subsets of the following set. K = {6, 7, 8, 9}</strong> A) {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {6, 7, 8, 9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {8, 6}, {7, 8}, {7, 9}, {8, 9}, {8, 7}, {6, 7, 8}, {9, 7, 6}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, K
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49
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
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50
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
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51
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
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52
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of ducks, <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of ducks,   is the set of birds, and the universe is the set of animals. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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53
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none Improper subsets: none
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none Improper subset: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subset:   B)   Improper subsets: none C)   Improper subset:   D)   Improper subsets:   E)   Improper subsets: none Improper subsets: none
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54
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of flowers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of flagpoles, <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of flowers,   is the set of flagpoles,   is the set of pencils, and the universe is the set of objects. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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55
List all subsets of the given set. Identify any of the subsets that are improper. <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:   Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper.  </strong> A)   Improper subsets:   B)   Improper subsets:   C)   Improper subsets:   D)   Improper subsets:   E)   Improper subsets:
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56
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people under age 21, <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets   and   where   is the set of people under age 21,   is the set of those 21 and over, and the universe is the set of all people. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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57
List all subsets of the following set. <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)

A) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
B) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
C) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
D) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
E) <strong>List all subsets of the following set.  </strong> A)   B)   C)   D)   E)
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58
If If   has a cardinality, what is it? Explain. has a cardinality, what is it? Explain.
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59
List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}

A) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
B) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9}
C) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9}
D) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}
E) <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: <strong>List all subsets of the given set. Identify any of the subsets that are improper. {6, 7, 8, 9}</strong> A)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} B)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} C)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {6, 9}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 7, 9}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6, 7, 8, 9} D)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets: {6}, {7}, {8}, {9} E)   {6}, {7}, {8}, {9}, {6, 7}, {6, 8}, {7, 8}, {7, 9}, {8, 9}, {6, 7, 8}, {6, 8, 9}, {7, 8, 9}, {6, 7, 8, 9} Improper subsets:   {6, 7, 8, 9} {6, 7, 8, 9}
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60
How many subsets are there in a set with <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)   elements?

A) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
B) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
C) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
D) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
E) <strong>How many subsets are there in a set with   elements?</strong> A)   B)   C)   D)   E)
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61
How many subsets are there in a set with How many subsets are there in a set with   elements? elements?
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62
Write the words in symbols: For the sets A and B,
B is a proper subset of A.

A) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)
B) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)
C) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)
D) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)
E) <strong>Write the words in symbols: For the sets A and B, B is a proper subset of A.</strong> A)   B)   C)   D)   E)
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63
How many subsets are there for a set with How many subsets are there for a set with   elements? elements?
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64
List all subsets of the following set. List all subsets of the following set.
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65
List all subsets of the following set. List all subsets of the following set.
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66
Write the words in symbols:
For the sets A and B,
B is a proper subset of A.
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67
Write the words in symbols:
For the sets D and E,
D is a subset of E.
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68
Write in words what the symbols Write in words what the symbols   mean about sets C and D. mean about sets C and D.
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69
How many proper subsets does the set How many proper subsets does the set   have? have?
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70
Write the words in symbols: For the sets G and H,
G is a subset of H.

A) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)
B) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)
C) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)
D) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)
E) <strong>Write the words in symbols: For the sets G and H, G is a subset of H.</strong> A)   B)   C)   D)   E)
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71
List all subsets of the following set. List all subsets of the following set.
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72
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of natural numbers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of integers, <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of natural numbers,   is the set of integers,   is the set of rational numbers, and the universe is the set of real numbers. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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73
How many subsets does the set How many subsets does the set   have? have?
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74
How many subsets are there in a set with cardinality of 7? Simplify your answer completely.
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75
Write in words what the symbols Write in words what the symbols   mean about sets M and N. mean about sets M and N.
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76
How many subsets does the set How many subsets does the set   have? have?
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77
List all subsets of the following set. List all subsets of the following set.
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78
List all subsets of the following set. List all subsets of the following set.
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79
Draw a Venn diagram showing the sets <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   and <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   where <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people in a classroom with blue eyes, <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people in the classroom with black shoes, <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.

A) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
B) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
C) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
D) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
E) <strong>Draw a Venn diagram showing the sets     and   where   is the set of people in a classroom with blue eyes,   is the set of people in the classroom with black shoes,   is the set of people in the classroom with wedding rings, and the universe is the set of people in the classroom. Assume that each region corresponds to a nonempty set.</strong> A)   B)   C)   D)   E)
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The empty set is a proper subset of the set E.
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