Question

For three sets A, B and C, show that (i) An B= An C need not imply B = C. (i) ACB = C-BC.C - A​

Answer 1

Let A={1,2,3,4}

B={3,4,5,6}

C={1,3,4,7,8}.

Here,

A∩B=3,4 and B∩C=3,4

Therefore,

A∩B=A∩C, but B≠C