Question

Represent set A, B, C such that $A\subset B,A\cap C=\varphi$ and $B\cap C\ne \varphi$ by Venn diagram. The number of separate regions representing $A\cup (B\cap C)$ is/are:

Answer 1

As $A$ is a subset of $B$, we draw $A$ inside $B$.
Since $A\cap C$ is a null set, and $B\cap C$ is not a null set we draw $C$ such that it intersects $B$ but not $A$

The shaded region represents $A\cup (B\cap C)$. Hence, there are two separate regions.