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

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

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  | 4th Jun, 2014, 03:23: PM