Question

if A,B are two sets than AU(B^A) is

Answer 1

if A,B be two sets than A∪{B∩A}= A

PROOF :- LHS, A∪{B∩A}

⇒ {A∩U} ∪ {A∩B} ............................ {SINCE A=A∩U}

⇒ A ∩ {U ∪ B}................................{DISTRIBUTIVE LAW }

⇒ A∩U

⇒ A                       hence proved