(a) Suppose P, Q, and R are non-empty sets. Prove that Px (QnR) (PxQ)n(Px R) by showing (b) Suppose that P, Q, and R are non-empty sets. Prove that Px (QnR)-(Px Q)n (P x R) by (c) Let U be the set of all integers. Let E be the set of all even integers, D the set of all odd integers, that each side of this equation must be a subset of the other side, and concluding that the two sides must therefore be equal. using set builder notation and set identities and definitions P the set of positive integers, and N the set of all negative integers. Find the following sets. i. E-P ii. PUN