Question

Given A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8, 10} and C = {1, 3, 5, 6, 9}.

Prove that A ∩ (B − C) = (A ∩ B) − (A ∩ C).​

Answer 1

Answer:

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Answer 2

Answer:

For L.H.S.

B - C = {2,4,8,10}

A ∩ (B-C) = {2,4}

Now, R.H.S.

A ∩ B = {2,4,6}

A ∩ C = {1,3,5,6}

(A ∩ B) - (A ∩ C) = {2,4}

So, we can see L.H.S = R.H.S. Hence, proved.