Given a non empty set X, consider P(X) which is the set of all subsets of X.

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 ⊂ B. Is R an equivalence relation

on P(X)? Justify your answer.