Question

The power set of the set $D=\varnothing$ is

• A. $\left\{\varnothing \right\}$
• B. $\varnothing$
• C. $\left\{\right\{\varphi \left\}\right\}$

Answer 1

The correct option is A $\left\{\varnothing \right\}$

Given set $D=\varnothing$
This means $D$ is an empty set.
$\Rightarrow \varnothing \subseteq D$
$\Rightarrow P\left(D\right)=\left\{\varnothing \right\}$