Solve the Inequality for x x^3>0

$x^{3} > 0$

Step 1

Take the cube root of both sides of the inequality to eliminate the exponent on the left side.

$\sqrt[3]{x^{3}} > \sqrt[3]{0}$

Step 2

Simplify the equation.

Simplify the left side.

Pull terms out from under the radical.

$x > \sqrt[3]{0}$

Simplify the right side.

Simplify $\sqrt[3]{0}$ .

Rewrite $0$ as $0^{3}$ .

$x > \sqrt[3]{0^{3}}$

Pull terms out from under the radical.

$x > 0$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 0$

Interval Notation:

$(0, \infty)$

Step 4