How do you solve x^3>=x^2?

Jul 31, 2016

$x = 0$ or $x \ge 1$
If $x = 0$ then ${x}^{3} = {x}^{2} = 0$, so the inequality is satisfied.
If $x \ne 0$ then ${x}^{2} > 0$ and we can divide both sides of the inequality by ${x}^{2}$ to get:
$x \ge 1$