Sets and Venn Diagrams Answers

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.

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).

Which statements are true about x? Select three options.

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?

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.

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

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.

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.

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.

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?