Sets and Venn Diagrams Answers

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Consider U = {x|x is a negative real number}.Which is an empty set?

A
{x|x ∈ U and x has a negative cube root}
B
{x|x ∈ U and x has a negative square root}
C
{x|x ∈ U and x is equal to the product of a positive number and –1}
D
{x|x ∈ U and x is equal to the sum of one negative and one positive number}
2
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The diagram shows the universal set U = {parallelograms}.Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles.

Question illustration
A
6
B
8
C
18
D
26
3

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.

Question illustration
A
4
B
6
C
36
D
38
4

Consider the following sets.U = {all real number points on a number line}A = {solutions to the inequality 3x + 4 ≥ 13}B = {solutions to the inequality x + 3 ≤ 4}For which values of x is A ⋃ B = Ø?

Question illustration
A
2 < x < 3
B
2 ≤ x ≤ 3
C
x ≤ 2 and x ≥ 3
D
x 3
5

In the Venn diagram, consider U = {whole numbers 1 – 100}.Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths, or numbers with a fourth root that is an integer.

Question illustration
A
16, 81
B
1, 16, 81
C
1, 4, 9, 16, 25, 36, 49, 81, 100
D
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
6

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
16
B
28
C
44
D
49
7

If the set U = {all positive integers} and set A = {x|x ∈ U and x is an odd positive integer}, which describes the complement of set A, Ac?

A
Ac = {x|x ∈ U and is a negative integer}
B
Ac = {x|x ∈ U and is zero}
C
Ac = {x|x ∈ U and is not an integer}
D
Ac = {x|x ∈ U and is an even positive integer}
8

The universal set is the set of rational numbers. S is the set of integers.Which represents Sc?

A
{x|x is a real number}
B
{x|x is a rational number}
C
{x|x is a rational positive number}
D
{x|x is a rational non-integer}
9

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).

Question illustration
A
O ⋃ P
B
E ∩ P
C
O ⋃ E
D
E ∩ O
10

S is a subset within a universal set, U. If S = {x, y, 4, 9, ?}, which could describe U?

A
U = {keys on a keyboard}
B
U = {letters}
C
U = {numbers}
D
U = {punctuation marks}

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