2.2. Propositions and Propositional Functions. (1) Let P, Q, R be propositions. Prove the following are logically equivalent. (a) -P - (Q A - Q) = P. (b) (P A-Q) - R=-(PA-Q) VR. (2) Let P(m, n) be the propositional function m divides n. Determine if -3mVnP(m, n). is true or false.2.4. Induction. (1) For every integer n 2 1, prove that n n(n+1) 1+2+3+...+n [ale 2 . (2) For every n 2 1, prove that i+i+i+m+ 1 = n . 1-3 3-5 5-7 (2n1)(2n+1) 2n+1 (3) For every n 2 1, prove that 1 2 3 7?, +++...+2n