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

1.	If A,B are two sets than AU(B^A) is
Answer» 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

Answer»

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

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

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