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Given a non - empty set, X , consider th...

Given a non - empty set, X , consider the binary operation ** :` P(X) xxP(X) rarr P(X)` given by `A **B = Acap B , AAA,B in P(X)` , where P(X) is the power set X. Show that X is the identity element for this operation and X is the only invertible element in P(X) with respect to the operation ** .

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