Question

shade $a \cap (b \cup c)$ on the venn diagram.

Explanation:

Step1: Identify $B \cup C$

$B \cup C$ is all regions inside circle $B$ or circle $C$ (including their overlap).

Step2: Find $A \cap (B \cup C)$

This is the overlap between circle $A$ and the region $B \cup C$: it includes the part of $A$ that overlaps with $B$, the part of $A$ that overlaps with $C$, and the small region where $A$, $B$, and $C$ all overlap.

Answer:

Shade the following regions on the Venn diagram:

1. The overlapping area of circle $A$ and circle $B$ (including the triple overlap with $C$)
2. The overlapping area of circle $A$ and circle $C$ (including the triple overlap with $B$)

(Visually, this is all parts of circle $A$ that also lie within either circle $B$ or circle $C$.)