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Let x be a nonempty set and * be a binary operation on P(X) the power set of X defiend by A*B =A cap B for all A,B in P(x) ltrbgt (i)Find the identity element in P(x) (ii) show that X is the only inveritiableelement in P(x) |
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Answer» `therefore` X is the identity element (ii) LET A be invertible in p(x) and let B its INVERSE then `A cap B = X` This is POSSIBLE only whne A=B =X `therefore`X is the only inveritable element in P(x) and its inverse is X |
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