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Given a non-empty set X, consider the bi...

Given a non-empty set X, consider the binary operation `**: P(X) xx P (X) to P (X)` given by `A **B= A nnB AA A, B` in `P (X),` where P(X) is the power set of 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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