# Q8. Show that for any sets A and B,A = ( A  B )  ( A – B ) and A  ( B – A ) = ( A  B )

A = ( A  B )  ( A – B )

L.H.S = A = Red coloured area

R.H.S =  ( A  B )  ( A – B )

( A  B ) = green coloured

( A – B ) =  yellow coloured

( A  B )  ( A – B ) = coloured part

Hence, L.H.S = R.H.S = Coloured part

A  ( B – A ) = ( A  B )

A = sky blue coloured

( B – A )=pink coloured

L.H.S = A  ( B – A ) = sky blue coloured + pink coloured

R.H.S = ( A  B ) = brown coloured part

L.H.S = R.H.S = Coloured part

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