Question

If $\xi$ is the universal set and $P$ is a subset of $\xi$ then what is $P\cap \{(P-\xi )\cup (\xi -P)\}$ equal to

• A. $\varphi$
• B. $P^{\prime }$
• C. $\xi$
• D. $P$

Answer 1

Answer: (A)

$\varphi$

Given set = $P\cap \{(P-\xi )\cup (\xi -P\left)\right\}$
$=P\cap \{\varphi \cup P^{\prime }\}$
$=P\cap P^{\prime }=\varphi$