Sets Relations And Functions Question 95

Question: If $ \mu $ is the universal set and P is a subset of $ \mu $ , then what is $ P\cap (P-\mu )\cup (\mu -P) $ equal to?

Options:

A) $ \phi $

B) P?

C) m

D) P

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a]Since $ \mu $
    is universal set And $ P\subseteq \mu ,P-\mu =\phi $ and $ \mu -P=P’ $ So, $ (P-\mu )\cup (\mu -P)=\phi \cup P’=P’ $ Now, $ P\cap {P-\mu )\cup (\mu -P}=P\cap P’=\phi $