1.

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).

Answer»

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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