Question

in the following venn diagram, u is the set of students in a class, a is the set of students who are taking biology, and b is the set of students who are taking us history. determine which students are taking biology or us history.

Explanation:

Step1: Understand set - union concept

The students taking biology or US history is the union of set A and set B, denoted as \(A\cup B\).

Step2: List elements in \(A\cup B\)

Elements in set A are Dean, Joy, Noah, Tom, Arya, Cole, Kim, Seth. Elements in set B are Arya, Cole, Kim, Seth, Gil, Will. The union \(A\cup B\) contains all unique elements from both sets.

Answer:

Dean, Joy, Noah, Tom, Arya, Cole, Kim, Seth, Gil, Will