Question

Which one of the following statements is correct?
where $P\left(A\right)$ denotes the power set of $A$.

• A. $A\cup P\left(A\right)=P\left(A\right)$
• B. $A\cap P\left(A\right)=A$
• C. $A-P\left(A\right)=A$
• D. $P\left(A\right)-A=P\left(A\right)$

Answer 1

Answer: (B)

$A\cap P\left(A\right)=A$

Here , $P\left(A\right)$ denotes the power set of $A$
Hence , $A$ is a subset of $P\left(A\right)$.
$\therefore A\cap P\left(A\right)=A$