AnswersOC27 MATH COLL LIB ARTS-1207350-S2-Maguire-DAquinoSets and Venn Diagrams

Sets and Venn Diagrams Answers

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1
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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}
2
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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
3

Consider the following sets.U = {ordered pairs on a coordinate plane}A = {ordered pair solutions to y = x}B = {ordered pair solutions to y = 2x}Which ordered pair satisfies A ∩ B?

A
(0, 0)
B
(1, 1)
C
(1, 2)
D
(2, 1)
4

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV
5

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}
6

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}
7

Carrie is finding the set of even numbers within the set of prime numbers.Of the sets described, which is the universal set?

A
all real numbers
B
all integers
C
prime numbers
D
even numbers
8

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
9

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV
10

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
11

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}
12

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
13

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
14

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV
15

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}
16

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
17

Consider the following sets.U = {ordered pairs on a coordinate plane}A = {ordered pair solutions to y = x}B = {ordered pair solutions to y = 2x}Which ordered pair satisfies A ∩ B?

A
(0, 0)
B
(1, 1)
C
(1, 2)
D
(2, 1)
18

Consider U = {x|x is a real number}.A = {x|x ∈ U and x + 2 > 10}B = {x|x ∈ U and 2x > 10}Which pair of statements is correct?

A
5 ∉ A; 5 ∈ B
B
6 ∈ A; 6 ∉ B
C
8 ∉ A; 8 ∈ B
D
9 ∈ A; 9 ∉ B
19

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV
20

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

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