- #1
kathrynag
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Homework Statement
x^2<x, then x<1
Homework Equations
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.