Sets and Venn Diagrams Quiz (100%)

Which statements are true about x? Select three options.

1-3: x ∈ B ⋃ C x ∈ B ∩ C x ∈ A ⋃ C

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)

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}

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?

A:2 < x < 3

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. Which number(s) satisfy A ∩ C?

B: 1, 16, 81

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. How many patients total were seen for only a cold, only an ear infection, and only allergies?

B: 28

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

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

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 true?

C: 8 ∉ A; 8 ∈ B

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

C: prime numbers

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

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