Sets-Relations-And-Functions Question 143

Question: Which one of the following is correct?

Options:

A) $ A\cup P(A)=P(A)(b) $

B) $ A\cap P(A)=A $

C) $ A-P(A)=A $

D) $ P(A)-{A}=P(A) $ Here P denotes the power set of a set A.

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] $ A\cup P(A)=P(A) $ is correct. Since, A is a subset of its power set.