Q. 204.7( 4 Votes )

Using prope

Answer :

Given: There are two sets A and B


To prove: A – (A B) = A – B


Take L.H.S


A – (A B)


= A (A B)’


{ A – B = A B’}


= A (A B’)’


= A (A’ B’)


{ (A B)’ = A’ B’}


= (A A’) (A B’)


{ Distributive property of set:


(A B) (A C) = A (B C)}


= Φ (A B’)


{ A A’ = Φ}


= A B’


= A – B


{ A – B = A B’}


= R.H.S


Hence Proved


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