A relation from a non empty set P to a non empty setQ is always a subset of cartesian product P×Q.
Empty relation on a set A is the subset of Cartesian product A × A
Given a non-empty set X. Consider P(X), which is the set of all subset of X. Defined the relation R in P(X) as follows: For subsets A and B in P(X),ARB if and only if A⊂B. Is R an equivalence relation on P(X)? Justify your answer.