1.

Given an example sets, ` A,B,C` such that `A cap B =A cap C but B ne C`.

Answer» Consider the sets ` A={1,2,3}, B={3,4} and C ={3,5,7}`.
Then , ` A cap B= {1,2,3 } cap {3,4}={3}`.
And , `A cap C={1,2,3} cap {3,5,7}={3}`.
Thus, `A cap B =A cap C, " and Clerly", B ne C`.


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