Question

show that A union B = A intersection C if B is not equal to C​

Answer 1

Answer:

The given question is incomplete in a sense. If there is ever a condition such that A∩B=B∩C, then it is quite easy to prove it mathematically.

Consider the example:

A={1,2,3,4}

B={3,4,7,8}

C={3,4,5,6}

Here,

B∩C = {3,4} = A∩B = {3,4}

And so, A∩C = {3,4}

Thus, the statement is correct.

But without this condition, it is not possible to prove the statement by any manner