I f space A equals open curly brackets 2 x : x element of N close curly brackets comma space B equals open curly brackets 3 x : x element of N close curly brackets comma space C equals open curly brackets 4 x : x element of N close curly brackets comma space t h e n space f i n d space open parentheses A intersection B close parentheses intersection C.

Asked by Topperlearning User | 28th Jul, 2014, 01:33: PM

Expert Answer:

Here, A = {2, 4, 6, 8, 10, 12, ---}

         B = {3, 6, 9, 12, ---}
         C = {4, 8, 12, 16, ---}
Now, A  B = {6, 12, ---}
(A  B)  C = {6, 12, ---} {4, 8, 12, 16, ---}
                      = {12, 24, ---}
i.e.  (A  B) C = {12x : x  N}

Answered by  | 28th Jul, 2014, 03:33: PM