The additive inverse of a number x is denoted -(x)
All even numbers are defined to be
So we have an even number. Let's call it 2a.
Well it's inverse is , but if , then , and so is an even number
I am having some trouble with this question:
"Show that the additive inverse, or negative, of an even number is an even number using a direct proof. "
I know it's basically asking me to prove that the inverse of an even number is even. I'm having trouble expressing it in English/ Mathematical operators.
Let n = 2a, for all !n=2a, n is even