(c) Prove the following set identities, using either Venn Diagrams or the rules of sets. Show your working. i. (AB)(AB)=A ii. (AB)CAC iii. (AC)(CB)= (d) Let p,q and r be three propositions for which p and q are true, and r is false. Determine the truth value of for each of the following: i. p(rq) ii. (prr)q iii. p(rq)