How do you solve the inequality x>x^2 and write your answer in interval notation?

Feb 14, 2017

$x < 0 \mathmr{and} > 1$

Explanation:

$x = {x}^{2} = x \left(1 - x\right) > 0$.

So, x and (1-x) have the same sign.

When $x > 1$, both are positive.

When $x < 0$, both are negative,

When $x \in \left(0 , 1\right)$, they have opposite signs.