Question 1

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false
-{3, 0, 8}$ \in $ A

Accepted Answer

The set {3, 0, 8} is an element of the set A, but it is not directly an element of A; it is a subset within an element of A.

Question 2

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false
-{9}$\subset$ A

Accepted Answer

The set {9} is an element of A, not a subset. A subset would require all elements of {9} to be individually present in A.

Question 3

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false
-{3, 0, 8}$ \in $ A

Accepted Answer

{3, 0, 8} is an element of set A, as it is listed within the curly brackets of A.

Question 4

One of the following is false; indicate by letter which one:

Accepted Answer

The answer of One of the following is false; indicate...

Question 5

Use the Venn diagram to find the requested set:
-Find A.

Accepted Answer

The answer of Use the Venn diagram to find the...

Question 6

Use the Venn diagram to find the requested set:
-Find A $\cap$ B.

Accepted Answer

The answer of Use the Venn diagram to find the...

Question 7

Use the Venn diagram to find the requested set:
-Find A $\cup$ B.

Accepted Answer

The answer of Use the Venn diagram to find the...

Question 8

Use the Venn diagram to find the requested set:
-Find A' $\cap$ B'.

Accepted Answer

The answer of Use the Venn diagram to find the...

Question 9

Use a Venn Diagram and the given information to determine the number of elements in the indicated region:
-

Accepted Answer

The answer of Use a Venn Diagram and the given...

Question 10

Use a Venn Diagram and the given information to determine the number of elements in the indicated region:
-

Accepted Answer

The answer of Use a Venn Diagram and the given...

Question 11

Use a Venn Diagram and the given information to determine the number of elements in the indicated region:
-

Accepted Answer

The answer of Use a Venn Diagram and the given...

Question 12

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let
A = {n ∈ N| n > 50}
B = {n ∈ N| n < 250}
O = {n ∈ N| n is odd}
E = {n ∈ N| n is even}
-A'

Accepted Answer

The answer of Determine whether the given set is finite...

Question 13

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let
A = {n ∈ N| n > 50}
B = {n ∈ N| n < 250}
O = {n ∈ N| n is odd}
E = {n ∈ N| n is even}
-B $\cup$ E

Accepted Answer

A is infinite because there are infinitely many positive integers greater than 50. B is finite because it contains all positive integers less than 250, which is a specific, countable number. O is infinite because there are infinitely many odd numbers. E is infinite because there are infinitely many even numbers.

Question 14

Use the Venn diagram below to find the number of elements in the region.
 
-

Accepted Answer

The answer of Use the Venn diagram below to find...

Question 15

Use the Venn diagram below to find the number of elements in the region.
 
-n(A $\cap$ C)

Accepted Answer

The answer of Use the Venn diagram below to find...

Question 16

Use the Venn diagram below to find the number of elements in the region.
 
-n((A $\cap$ B) $\cap$ C)

Accepted Answer

The answer of Use the Venn diagram below to find...

Question 17

Use the addition principle for counting to solve the problem:
-If n(A) = 5, n(B) = 11 and n(A $\cap$ B) = 3, what is n(A $\cup$ B)?

Accepted Answer

The answer of Use the addition principle for counting to...

Question 18

Use the addition principle for counting to solve the problem:
-If n(A) = 40, n(B) = 117 and n(A $\cup$ B) = 137, what is n(A $\cap$ B)?

Accepted Answer

n(A $\cap$ B) = n(A) + n(B) - n(A $\cup$ B) = 40 + 117 - 137 = 20

Question 19

Use the addition principle for counting to solve the problem:
-If n(B) = 24, n(A $\cap$ B) =5, and n(A $\cup$ B) = 42, find n(A).

Accepted Answer

n(A) = n(A $\cup$ B) - n(B)n(A) = 42 - 24n(A) = 18

Question 20

Use the addition principle for counting to solve the problem:
-If n(A) = 20, n(A $\cup$ B) = 58, and n(A $\cap$ B) = 16, find n(B).

Accepted Answer

n(B) = n(A $\cup$ B) - n(A $\cap$ B) = 58 - 16 = 54

Quiz 7: Logic, Sets, and Counting

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} $\in$ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{9} $\subset$ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} $\in$ A

One of the following is false; indicate by letter which one:

Use the Venn diagram to find the requested set: -Find A.

Use the Venn diagram to find the requested set: -Find A $\cap$ B. $Use the Venn diagram to find the requested set: -Find A \cap B. A) { m} B) { e, c, i, g, m, q, t} C) { e, c, i, g, q, t} D) { c, i}$

Use the Venn diagram to find the requested set: -Find A $\cup$ B. $Use the Venn diagram to find the requested set: -Find A \cup B. A) { b, j} B) { q} C) { e, b, j, h, q, m, t} D) { e, b, j, h, m, t}$

Use the Venn diagram to find the requested set: -Find A' $\cap$ B'. $Use the Venn diagram to find the requested set: -Find A' \cap B'. A) \phi B) { 7, 3, 4, z, r, h} C) { 7} D) { 4}$

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈ N| n > 50} B = {n ∈ N| n < 250} O = {n ∈ N| n is odd} E = {n ∈ N| n is even} -A'

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈ N| n > 50} B = {n ∈ N| n < 250} O = {n ∈ N| n is odd} E = {n ∈ N| n is even} -B $\cup$ E

Use the Venn diagram below to find the number of elements in the region. -

Use the Venn diagram below to find the number of elements in the region. $Use the Venn diagram below to find the number of elements in the region. -n(A \cap C) A) 18 B) 2 C) 37 D) 10$ -n(A $\cap$ C)

Use the Venn diagram below to find the number of elements in the region. $Use the Venn diagram below to find the number of elements in the region. -n((A \cap B) \cap C) A) 14 B) 33 C) 11 D) 15$ -n((A $\cap$ B) $\cap$ C)

Use the addition principle for counting to solve the problem: -If n(A) = 5, n(B) = 11 and n(A $\cap$ B) = 3, what is n(A $\cup$ B) ?

Use the addition principle for counting to solve the problem: -If n(A) = 40, n(B) = 117 and n(A $\cup$ B) = 137, what is n(A $\cap$ B) ?

Use the addition principle for counting to solve the problem: -If n(B) = 24, n(A $\cap$ B) =5, and n(A $\cup$ B) = 42, find n(A) .

Use the addition principle for counting to solve the problem: -If n(A) = 20, n(A $\cup$ B) = 58, and n(A $\cap$ B) = 16, find n(B) .

Quiz 7: Logic, Sets, and Counting

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} ∈ \in ∈ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{9} ⊂\subset⊂ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} ∈ \in ∈ A

One of the following is false; indicate by letter which one:

Use the Venn diagram to find the requested set: -Find A.

Use the Venn diagram to find the requested set: -Find A ∩\cap∩ B.

Use the Venn diagram to find the requested set: -Find A ∪\cup∪ B.

Use the Venn diagram to find the requested set: -Find A' ∩\cap∩ B'.

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Use a Venn Diagram and the given information to determine the number of elements in the indicated region: -

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈ N| n > 50} B = {n ∈ N| n < 250} O = {n ∈ N| n is odd} E = {n ∈ N| n is even} -A'

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈ N| n > 50} B = {n ∈ N| n < 250} O = {n ∈ N| n is odd} E = {n ∈ N| n is even} -B ∪\cup∪ E

Use the Venn diagram below to find the number of elements in the region. -

Use the Venn diagram below to find the number of elements in the region. -n(A ∩\cap∩ C)

Use the Venn diagram below to find the number of elements in the region. -n((A ∩\cap∩ B) ∩\cap∩ C)

Use the addition principle for counting to solve the problem: -If n(A) = 5, n(B) = 11 and n(A ∩\cap∩ B) = 3, what is n(A ∪\cup∪ B) ?

Use the addition principle for counting to solve the problem: -If n(A) = 40, n(B) = 117 and n(A ∪\cup∪ B) = 137, what is n(A ∩\cap∩ B) ?

Use the addition principle for counting to solve the problem: -If n(B) = 24, n(A ∩\cap∩ B) =5, and n(A ∪\cup∪ B) = 42, find n(A) .

Use the addition principle for counting to solve the problem: -If n(A) = 20, n(A ∪\cup∪ B) = 58, and n(A ∩\cap∩ B) = 16, find n(B) .

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} $\in$ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{9} $\subset$ A

Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false -{3, 0, 8} $\in$ A

Use the Venn diagram to find the requested set: -Find A $\cap$ B. $Use the Venn diagram to find the requested set: -Find A \cap B. A) { m} B) { e, c, i, g, m, q, t} C) { e, c, i, g, q, t} D) { c, i}$

Use the Venn diagram to find the requested set: -Find A $\cup$ B. $Use the Venn diagram to find the requested set: -Find A \cup B. A) { b, j} B) { q} C) { e, b, j, h, q, m, t} D) { e, b, j, h, m, t}$

Use the Venn diagram to find the requested set: -Find A' $\cap$ B'. $Use the Venn diagram to find the requested set: -Find A' \cap B'. A) \phi B) { 7, 3, 4, z, r, h} C) { 7} D) { 4}$

Determine whether the given set is finite or infinite. Consider the set N of positive integers to be the universal set, and let A = {n ∈ N| n > 50} B = {n ∈ N| n < 250} O = {n ∈ N| n is odd} E = {n ∈ N| n is even} -B $\cup$ E

Use the Venn diagram below to find the number of elements in the region. $Use the Venn diagram below to find the number of elements in the region. -n(A \cap C) A) 18 B) 2 C) 37 D) 10$ -n(A $\cap$ C)

Use the Venn diagram below to find the number of elements in the region. $Use the Venn diagram below to find the number of elements in the region. -n((A \cap B) \cap C) A) 14 B) 33 C) 11 D) 15$ -n((A $\cap$ B) $\cap$ C)

Use the addition principle for counting to solve the problem: -If n(A) = 5, n(B) = 11 and n(A $\cap$ B) = 3, what is n(A $\cup$ B) ?

Use the addition principle for counting to solve the problem: -If n(A) = 40, n(B) = 117 and n(A $\cup$ B) = 137, what is n(A $\cap$ B) ?

Use the addition principle for counting to solve the problem: -If n(B) = 24, n(A $\cap$ B) =5, and n(A $\cup$ B) = 42, find n(A) .

Use the addition principle for counting to solve the problem: -If n(A) = 20, n(A $\cup$ B) = 58, and n(A $\cap$ B) = 16, find n(B) .