In P(X) , the power set of a non-empty set X , an binary operation * is defined by A ^ * ~B = A B , A , B P ( x ) under * , a true statement is

Step-by-step solution

Under the binary operation, A * ~B = A B , A , B P ( x )= Power set Inverse of 'A' does not exists because A * B , for any B P(x) Where is the identity element in P(x) . While under the binary operation A * B=A B , the commutative law, associative law and identity elements are exists.