Q. 2 F3.6( 5 Votes )

# Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities:A ∩ (B ∪ C) = (A ∩ B) ∩ (A ∩ C).

A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}.

Now,

B C = {5, 6}

A (B C) = {5}

Similarly finding out R.H.S we get,

A B = {2, 5}

A C = {4, 5}

(A B) (A C) = {5}

L.H.S = R.H.S

Hence, Verified.

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RS Aggarwal - Mathematics