AnswersCR CCSS Math 2 S2 M2960OXSolving for Side Lengths of Right Triangles

Sets and Venn Diagrams Answers

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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}
2
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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
3

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}
4

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
5

Which statements are true about x? Select three options.

A
x ∈ B ⋃ C
B
x ∈ B ∩ C
C
x ∈ A ⋃ C
D
x ∈ A ∩ C
E
x ∈ A
6

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}
7

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
8

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
9

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
10

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

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