2. For each of the statements below state whether it is True or False. If True then give a proof. If False then give a counterexample. (a) If a,bZ+are odd then the product ab is odd. (b) If a,bZ+, where a is even and b is odd then a+b is odd. (c) Let a,bZ+. If a+b is even, then a2 or b2 is even. (d) For all aZ+, if a>3 then a24 is composite