Question

If A and B are two given sets, then $A\cap (A\cap B{)}^c$ is equal to

• A. A
• B. B
• C. $\varphi$
• D. $A\cap B^c$

Answer 1

A and B are two sets.

$(A\cap B{)}^c$ is the common region in both the sets.

$(A\cap B{)}^c$ is all the region in the universal set except $A\cap B$.

Now,

$A\cap (A\cap B{)}^c=A\cap B^c$