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 conclusionaris valid by using rules of inference. b) Show that the argument form with premises -p, -p4,4 r.- and conclusion FALSE is valid by using rules of inference, c) Show that the argument form with premises u , (43) p V 0.9 (As),-1.4, and the conclusion p is valid by using rules of inference. d) Show that the argument form with premises p 4,9 (), -rv (vu),pit, and the conclusion u is valid by using rules of inference