1. The problem statement, all variables and given/known data x^2<x, then x<1 2. Relevant equations 3. The attempt at a solution We will use a proof by contrapositive. We assume x>1 and we want to show x^2>x. Let x be greater than 1 and let x^2=x*x. If x^2=x*x, then x*x>x. Therefore, x^2>x.