# algebra

posted by
**Anonymous** on
.

At an auto show, a car dealer asked the first 10 visitors their ages and the kinds of cars they own. The Venn diagram shows the details.

A Venn diagram titled Ages of Car Owners, indicating the ages of owners of each type of car. Each of the three circles in the Venn diagram represents a type of car and the three circles are labeled Sedans (Set X), Sports Cars (Set Z), and SUVs (Set Y). The ages of owners of only Set X are 28, 27, and 41, the age of an owner of only set Z is 34, and the ages of owners of only Set Y are 45, 38, and 51. The ages of owners of all three types of cars is left blank. The age of an owner of Set X and Set Z is 42. The age of an owner of Set Z and Set Y is 49. The age of an owner of Set X and Set Y is 39

Based on the diagram, which of the following represents the ages of car owners in the set

(X ∩ ~Y) ∪ (Z ∩ Y)?