Question

question 4 of 10
this venn diagram shows the pizza topping preferences for 9 students.
let event a = student likes pepperoni.
let event b = student likes olives.
what elements are in a and b?
a. {maria, zack, bo}
b. {petal, owen, julia}

Explanation:

Step1: Understand the meaning of "A and B"

In set - theory, "A and B" (denoted as \(A\cap B\)) represents the intersection of two sets. It is the set of elements that are in both set \(A\) and set \(B\).

Step2: Locate the intersection in the Venn - diagram

In the given Venn - diagram, the green circle represents set \(A\) (students who like pepperoni) and the orange circle represents set \(B\) (students who like olives). The overlapping (intersection) part of the two circles contains the students who like both pepperoni and olives.
Looking at the Venn - diagram, the names in the overlapping region are Maria, Zack, and Bo.

So the elements in \(A\cap B\) are Maria, Zack, and Bo.

Answer:

A. {Maria, Zack, Bo}