Math II - Sets and Venn Diagrams Quiz 100% CORRECT

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? (0, 0) (1, 1) (1, 2) (2, 1)

(0, 0)

On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)? A) II B) I and III C) I, II, and III D) I, II, III, and IV

A) II

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}

A) U = {keys on a keyboard}

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

A) x ∈ B ⋃ C B) x ∈ B ∩ C C) x ∈ A ⋃ C

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? A) 16 B) 28 C) 44 D) 49

B) 28

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

C) 8 ∉ A; 8 ∈ B

On the Venn diagram, which region(s) represent the union of Set A and Set B (A⋃B)? A) II B) I and III C) I, II, and III D) I, II, III, and IV

C) I, II, and III

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

C) prime numbers

In the Venn diagram, consider U = {students in 10th grade at Lee High School}. The diagram shows the electives chosen by the students in the 10th grade. How many students chose to participate in the painting class? A) 8 B) 11 C) 14 D) 17

D) 17

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles. How many of the parallelograms fall into the category A U B? A) 6 B) 8 C) 18 D) 26

D) 26