Question

9. Given a non-empty set X, consider the binary operation * : P(X) P(X) → P(X) given by
A*B=A B for all 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 *.​

Answer 1

Answer:

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