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Given a non-empty set X , consider P\ (X...

Given a non-empty set `X` , consider `P\ (X)` which is the set of all subjects of `X` . Define a relation in `P\ (X)` as follows: For subjects `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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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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