Question

If $A$ and $B$ are sets, then $A\cap (B–A)$ is

• A. $\varphi$
• B. $A$
• C. $B$
• D. None of these

Answer 1

The correct option is A

$\varphi$

Explanation for the correct option:

Given, $A$ and $B$ are $2$ sets

From the Venn diagram, we can see that the set $B-A$ contains no elements from the set $A$

Therefore, the intersection of the $2$ sets $A$ and $B-A$ that is $A\cap (B–A)$ will be a null set $\varphi$

Hence, Option ‘A’ is Correct.