1. For each of the following statement, tell if it is a proposition. If it is not explain why (a) Have a nice day. Notre (b) The soup is cold, yes (c) The patient has diabetes. Yes (d) The light is on. Yas (e) It's a beautiful day. Yas (1) Do you like my new shoes? Noris *** (8) Bummer! No 2. Tell the truth value for each of the following conditional statements? (a) If 2 + 2 = 4 then 7 is an even number (b) If 5 is not a prime number, then pigs can whistle. (c) If 7 is an odd number, then February does not have 30 days. (d) Pigs can whistle if and only if donkeys can fly. 3. In this problem we will construct truth tables for several propositions. (a) -(PV-(As)) (we have filled in the variable headings: you do all the rest POS TF T TI FI FI FT (b) 9 + PV ) [you construct this one from scratch]