Question

Let $A=\{1,2,3,4\},B=\{1,2,3\}$ and $C=\{2,4\}$. Find sets X satisfying each pair of conditions. $X\subseteq B$ and $X\text{/}\subset C$

Answer 1

$X\subseteq B$ and $X\text{/}\subset C$
$\Rightarrow$ X is subset of B but X is not a subset of C
$\Rightarrow XϵP\left(B\right)$ but $X\text{/}ϵP\left(C\right)$
$\Rightarrow X=\left\{1\right\},\left\{3\right\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}$.