Please answer as much as possible

(a) Show that (p rightarrow q) and p rightarrow q are logically equivalent (b) Determine whether (p logicaland (p rightarrow q)) rightarrow q is a tautology. Express each of the following statements using logical operators, predicates and quantifiers. Form the negation of each statement using logical operators, predicates and quantifiers. a) All dogs have fleas. b) There is a horse that can add. c) Every Koala can climb. List the elements in each of the following sets: A = {x element Q such that x{x - 1}{x - 4} {2x + 3) = 0} B = {x element Z such that -3