4. (9pts) The following are invalid arguments. Explain what is wrong with them. (a) Let A(x) be "x can fly." Given the premise xA(x), we conclude that A(George). Therefore, George can fly. (b) All rabbits like fruit. George is not a rabbit. Therefore, George does not like fruit. (c) Let L(x,y) be " x loves y." Given the premise xL(x,George), it follows that L( George, George). Then by Existential Generalization it follows that xL(x,x), so that someone loves themselves. 5. ( 6pts) Let x and y be real numbers. Use a proof by contraposition to show that if x+y2, then x1 or y1 6. (6pts) Prove using contradiction that at least ten of any 64 days chosen must fall on the same day of the week