Q. 84.1( 16 Votes )

Given a non-empty

Answer :

We know that every set is a subset of itself, ARA for all A ϵ P(X).

⇒ R is reflexive.

This cannot be implied to B ⊂ A.

So, if A = {1, 2} and B = {1, 2, 3}, then it cannot be implied that B is related to A.

⇒ R is not symmetric.

So, if ARB and BRC, then A ⊂ B and B ⊂ C.

⇒ A ⊂ C

⇒ R is transitive.

Therefore, R is not an equivalence relation since it is not symmetric.

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