Let x, y, and z be integers. Write a proof by contraposition to show that (a) if x is

Chapter 1, Problem 3

(choose chapter or problem)

Let x, y, and z be integers. Write a proof by contraposition to show that (a) if x is even, then is odd.(b) if x is odd, then is odd.(c) if is not divisible by 4, then x is odd.(d) if xy is even, then either x or y is even. (e) if is even, then x and y have the same parity.(f) if xy is odd, then both x and y are odd.(g) if 8 does not divide then x is even.(h) if x does not divide yz, then x does not divide z.