An integer n is even if n = 2k for some integer k. An integer n is odd if n = 2k+1 for some integer k. There are no integers that are both even and…

An integer n is even if n = 2k for some integer k. An integer n is odd if n = 2k+1 for some integer k. There are no integers that are both even and odd!

Examples: 6 is even since 6 = (2)(3), −8 is even since −8 = (2)(−4), 0 is even since 0 = (2)(0), 3 is odd since 3 = 2(1) + 1, and −9 is odd since −9 = (2)(−5) + 1.