If A = {2, 4, 6, 8}, B = {1, 3, 5, 6}, C = {5, 6, 7, 8, 9}. Verify that (A  B)  C = A (B  C)

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

Expert Answer:

A  B = {1, 2, 3, 4, 5, 6, 8}

L.H.S. =  (A B)
          = {1, 2, 3, 4, 5, 6, 8}{ 5, 6, 7, 8, 9}
          = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B  C   =   {1, 3, 5, 6, 7, 8, 9}
R.H.S.  = A (B  C)
            ={ 2, 4, 6, 8}{1, 3, 5, 6, 7, 8, 9}
            = {1, 2, 3, 4, 5, 6, 7, 8, 9}
Hence, L.H.S = R.H.S.

Answered by  | 4th Jun, 2014, 03:23: PM