Deck 2: Set

Question 1

Answer 1

Question 2

Answer 2

Question 3

Which statement is false?

Answer 3

C

Question 4

Question 5

Show that the set is an infinite set. {-8, -6, -4, -2, 0, . . .}

Question 6

Question 7

Show that the set is an infinite set. {3, 6, 9, 12, 15, . . .}

Question 8

Question 9

Classify each pair of sets as equal, equivalent, or neither. {1, 3, 5} and {2, 4, 6, 8}

A) equivalent
B) neither
C) equal and equivalent

Question 10

Write the set using the descriptive method: {97, 98, 99, . . . , 110}

Question 11

Which statement is true?

Question 12

Question 13

Find all subsets of the set. {2, 4, 11}.

Question 14

List the elements in the set: {8, 11, 14, . . . , 32}.

Question 15

Question 16

Which set is infinite?

Question 17

Which set is finite?

Question 18

Question 19

Question 20

Question 21

Question 22

Find the number of proper subsets the set has. {m, n, p, q, r, s, t, u, v, w}

A) 1023
B) 10
C) 1022
D) 1024

Question 23

$\text { Use the Venn diagram and find } B ^ { \prime } \text {. }$

A) B? = {r, s, t}
B) B? = {r, s, t, y, z}
C) B? = {r, s, t, u, v, y, z}
D) B? = {r, s, t, u, v}

Question 24

Question 25

Find the general term of the set. {-10, -20, -30, -40, -50, . . .}

A) -10n
B) n - 11
C) -9n - 1
D) -11n + 1

Question 26

Question 27

In a group of 48 children, 25 had a dog, 35 had a cat, and 15 had both a dog and a cat. How many children had neither a dog nor a cat as a pet?

A) 23
B) 20
C) 38
D) 3

Question 28

Write the set using the descriptive method: {7, 14, 21, 28, 35}

Question 29

$$\text { True or False? } \{ 4 \} \subseteq \{ 2,4,6,8,10 \}$$

A) False
B) True

Question 30

Question 31

Determine whether the two sets are equal. $( C \cap D ) ^ { \prime }$ and $C ^ { \prime } \cup D ^ { \prime }$

A) equal
B) not equal

Question 32

Find the cardinal number for the set.  = {eleven}

A) n() = 1
B) n() = 0
C) n() = 6
D) n() = 11

Question 33

State whether the collection is well-defined or not well-defined. {5, . . . }

A) Not well-defined
B) Well-defined

Question 34

Question 35

Question 36

Write the set using roster notation: The set of even natural numbers less than 10.

Question 37

The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and 2008.

Median Home Prices in Anywhere


List the set of years in which the median price was above $\$ 150,000$ .

A) (2005, 2006, 2007, 2008}
B) (2003, 2004}
C) (2005, 2006, 2007}
D) (2003, 2004, 2008}

Question 38

Question 39

Classify each pair of sets as equal, equivalent, or neither. {a, b, c, d, e} and {5, 4, 3, 2, 1}

A) equal and equivalent
B) neither
C) equivalent

Question 40

In a survey of 22 instructors, it was found that 5 liked whiteboards, 15 liked blackboards, and 2 liked both. How many instructors did not like whiteboards?

A) 13
B) 4
C) 19
D) 17

Question 41

Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'

Question 42

One weekend, there were 91 pizzas ordered for the sophomore dorm. That weekend 20 customers ordered their pizza with just pepperoni, 17 customers ordered their pizza with just sausage, 10 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 5 ordered theirs with sausage and onions, 12 ordered theirs with pepperoni and onions, and 4 ordered theirs with all three items. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered at most two toppings on their pizza?

A) 87
B) 32
C) 79
D) 26

Question 43

Question 44

Let X = {4, 6}. Find X × X.

A) X × X = {16, 36}
B) X × X = {16, 24, 36}
C) X × X = {(4, 4), (4, 6), (6, 4), (6, 6)}
D) X × X = {(4, 6), (6, 4)}

Question 45

Write the set using set-builder notation: {1, 3, 5, . . . , 23}

Question 46

Let U = {s, t, u, v, w, x, y, z} A = {s, t, u, v} B = {s, u, w, y}. Find B - A.

Question 47

Question 48

One weekend, there were 88 pizzas ordered for the sophomore dorm. That weekend 15 customers ordered their pizza with just pepperoni, 20 customers ordered their pizza with just sausage, 18 ordered theirs with just onions, 12 ordered theirs with pepperoni and sausage, 11 ordered theirs with sausage and onions, 6 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)?

A) 35
B) 60
C) 47
D) 10

Question 49

Write the set using set-builder notation: The set of natural numbers greater than 11.

Question 50

Question 51

Question 52

Find the general term of the set. {3, 8, 13, 18, 23, . . .}

A) 4n - 1
B) 3n
C) 5n - 2
D) 6n - 3

Question 53

Find the number of subsets the set has. {1, 2, 3, 4, 5}

A) 32
B) 31
C) 5
D) 16

Question 54

Question 55

Since the student union is being remodeled, there is a limited choice of foods and drinks a student can buy for a snack between classes. Students can choose none, some, or all of these items: diet soft drink, hamburger, fries. How many different selections can be made?

A) 8
B) 9
C) 7
D) 3

Question 56

Find the cardinal number for the set.  = {5, 10, 15, . . . , 45}

A) n() = 9
B) n() = 45
C) The set is infinite.
D) n() = 4

Question 57

Question 58

Question 59

Question 60

In a survey of 20 college students, it was found that 9 were taking an English class, 3 were taking a math class, and 2 were taking both English and math. How many students were taking a math class only?

A) 13
B) 11
C) 10
D) 1

Question 61

Question 62

Let $A = \{ 6,7,8,9,10 \}$ .
State whether the following statement true or false: $8 \notin A$

Question 63

Let A = {4, 5, 6} B = {12, 16, 20}. Find B × A.

A) B × A = {(4, 12), (4, 16), (4, 20), (5, 12), (5, 16), (5, 20), (6, 12), (6, 16), (6, 20)}
B) B × A = {(12, 4), (12, 5), (12, 6), (16, 4), (16, 5), (16, 6), (20, 4), (20, 5), (20, 6)}
C) B × A = {48, 60, 72, 64, 80, 96, 80, 100, 120}
D) B × A = {48, 80, 120}

Question 64

Classify each pair of sets as equal, equivalent, or neither. {1, 2, 3, . . ., 10} and {10, 9, 8, . . ., 1}

A) equal and equivalent
B) neither
C) equivalent

Question 65

Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly two of the three writing instruments?

A) 15
B) 11
C) 3
D) 2

Question 66

Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained none of the three writing instruments?

A) 11
B) 15
C) 2
D) 3

Question 67

Question 68

Question 69

Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find C'.

Question 70

Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained exactly one of the three writing instruments?

A) 2
B) 3
C) 11
D) 15

Question 71