A) identity law is not satisfied
B) inverse law is not satisfied
C) commutative law is not satisfied
D) associative law is not satisfied
Correct Answer: B
Solution :
Under the binary operation, \[A*B=A\cup B,\forall A,B\in P(x)=\]power set Inverse of ‘A’ does not exists because \[A*B\ne \phi ,\] for any \[B\in P(x)\] Where \[\phi \] is the identity element in \[P(x)\] While under the binary operation \[A*B=A\cup B,\] the commutative law, associative law and identify elements are exists.You need to login to perform this action.
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