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

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==== QUESTION TEXT ====

Given a non-empty set `X` , consider `P\\ (X)` which is the set of all subsets of `X` . Define a relation in `P\\ (X)` as follows: For subsets `A ,\\ B` in `P\\ (X),\\ \\ A\\ R\\ B` if `AsubB` . Is `R` an equivalence relation on `P\\ (X)` ? Justify your answer.

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