Textbook Problem

Let $X=\left\{a,b,c\right\}$ . Recall that $P\left(X\right)$ is the power set X. Define a relation S $P\left(X\right)$ as follows: For all sets A and B in $P\left(X\right)$ ,

1. $\text{Is}\left\{a,b\right\}S\left\{b,c\right\}?$

$\text{Is}\left\{a\right\}S\left\{a,b\right\}?$

$\text{Is}\left\{c\right\}S\left\{b\right\}?$