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## Homework Statement

Let P be a true sentence, and let Q be formed by putting some number of negation symbols in front of P. Show that if you put an even number of negation symbols, then Q is true, but that if you put an odd number, then Q is false.

## Homework Equations

So .... the problem also suggests that I use induction, if I know how to use it. From Math class I know how to use the principle of induction: Show that P(1) is true, and then show that if P(n) is true, P(n+1) is true as well.

## The Attempt at a Solution

But I'm not sure how to use it in this problem. Please help.