CSIS Discrete Math

6. Consider the following true statement S: Un E Z. if 3 divides n, then 3 divides 2n. (a) Write the negation of statement S. (b) Write the contrapositive of statement S. (c) Write the converse of statement S. (d) Write the inverse of statement S. (e) With regard to the converse of statement S: If the converse is true, then prove it, or if it is false then give a counterexample