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

(a) Write E, T, and M using symbolic notation (set-builder notation).

(b) Give a symbolic representation of ET that do not use the symbols E and T on the right hand side of the equal sign.