Problem #3 (20 points) For each these arguments, explain which rules of inference are used for each step. a) Show that the argument form with premises p. (9 V p). (Vg) and conclusion -r is valid by using rules of inference. b) Show that the argument form with premises "p. -p 9,9r.-r and conclusion FALSE is valid by using rules of inference. c) Show that the argument form with premises u + r. (As) p V 0), 9 (uAs). -1.9, and the conclusion p is valid by using rules of inference. d) Show that the argument form with premises p 4,9 (As),-rvfvu),pat, and the conclusion u is valid by using rules of inference