Sets and Venn Diagrams

Question 1

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

Revolt · Accepted Answer

{x|x ∈ U and x has a negative square root}

Question 2

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?

Revolt · Accepted Answer

Ac = {x|x ∈ U and is an even positive integer}

Question 3

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.

Revolt · Accepted Answer

II

Question 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?

Revolt · Accepted Answer

8 ∉ A; 8 ∈ B

Question 5

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.

Revolt · Accepted Answer

I, II, and III

Question 6

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.

Revolt · Accepted Answer

4

Question 7

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

Revolt · Accepted Answer

prime numbers

Question 8

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

Revolt · Accepted Answer

U = {keys on a keyboard}

Question 9

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

Revolt · Accepted Answer

{x|x is a rational non-integer}

Question 10

Which statements are true about x? Select three options.

Revolt · Accepted Answer

x ∈ B ⋃ C; x ∈ B ∩ C; x ∈ A ⋃ C

Sets and Venn Diagrams Answers

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