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 $A \subset B$ . Is R an equivalence relation on P(X)? Justify your answer.

Q. 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 ), A R B if and only if A ⊂ B . Is R an equivalence relation on P( X )? Justify you answer:

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Empty relation on a set A is the subset of Cartesian product A × A

The correct option is A True We know that any relation is a subset of Cartesian product( definition of relation). So, empty relation would also be a subset of cartesian product A × A

Empty relation on a set A is the subset of Cartesian product $A \times A$

The correct option is A
True

We know that any relation is a subset of Cartesian product( definition of relation). So, empty relation would also be a subset of cartesian product $A \times A$