Given a non empty set $X$, consider $P(X)$ which is the set of all subsets of $X$. Define the relation $R$ in $P(X)$ as follows: For subsets $A,\; B$ in $ P(X),\; ARB$ if and only if $ A \subset B $ Is $R$ an equivalence relation on $P(X)$?

Question

$\begin{array}{1 1} \text{$R$ is an equivalence relation} \\ \text{$R$ is NOT an equivalence relation} \end{array}$