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using venn diagram do the problem An(BUC)=(AnB)U(AnC)

Here A = {1,2,3,4,5}
B={4,5,6,7}
C={5,7,8,9}
B?C ={4,5,6,7,8,9}
A ? (B?C) ={4,5}    ........(i)

A?B = {4,5}

A?C ={5}

(A?B) ? (A?C)= {4,5}  ........(ii)
Hence, from (i) and (ii),
A ? (B?C) = (A?B) ? (A?C)


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