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Question

If A={0,1,2,3} and B={2,3,4,5,6}, then verify that A(AB)=AB

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Solution

AB={0,1,2,3}{2,3,4,5,6}={0,1}
L.H.S. =A(AB)={0,1,2,3}{0,1}
and R.H.S. =AB={0,1,2,3}{2,3,4,5,6}={2,3}
L.H.S. = R.H.S.

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