Suppose that we take the universal set U to be the integers. Let S be the even integers, let T be the integers that can be obtained by tripling any one integer and adding one to it, and let V be the set of numbers that are whole multiples of both two and three.

(i) Write S, T, and V using symbolic notation.

(ii) Compute S∩T, S∩V and T∩V and give symbolic representations that do not use the symbols S, T, or V on the right-hand side of the equals sign.