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If A = {1, 2, 3}, B = {4}, C = {5}, verify that A  (B  C) = (A  B)  (A  C)

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

(B  C) = {4, 5}

So, A  (B  C) = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

Now    (A  B) = {(1, 4), (2, 4), (3, 4)}

And    (A  C) = {(1, 5), (2, 5), (3, 5)}

Therefore, (A  B)  (A  C) =  {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

Hence, A  (B  C) = (A  B)  (A  C)

Answered by Expert 4th June 2014, 3:23 PM
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