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Let A be any non-empty set and P(A) be the power set of A. A relation R defined on P(A) by X R Y X ∩ Y = X, X, Y ∈ P(A). Examine whether R is symmetric.

Posted by Sabita Banua 3 years, 7 months ago

CBSE > Class 12 > Mathematics

1 answers

Arunmozhi Chelvan 3 years, 7 months ago

Yes R is symmetric because X ∩ Y =X and Y ∩ X=X .thus (X,Y)∈ P(A) and (Y,X)∈ P(A)

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