2. Let p and q be the propositions p: I finish studying this afternoon. q: I will go to the gym. r: I will go to dinner Write these propositions using Pand q and logical operators (connectives): a) I finish studying and I will go to the gym. b) I don't finish studying this afternoon. c) If I finish studying this afternoon, then I will go to the gym. d) If I don't finish studying this afternoon, then I will not go to the gym. e) If I finish studying this afternoon, then I will go to the gym or dinner. f) I will go to the gym and dinner, iff and only if I finish studying