Solve for x -3<x/3

$- 3 < \frac{x}{3}$

Step 1

Multiply both sides by $3$ .

$- 3 \cdot 3 < \frac{x}{3} \cdot 3$

Step 2

Simplify.

Simplify the left side.

Multiply $- 3$ by $3$ .

$- 9 < \frac{x}{3} \cdot 3$

Simplify the right side.

Cancel the common factor of $3$ .

Cancel the common factor.

$- 9 < \frac{x}{3} \cdot 3$

Rewrite the expression.

$- 9 < x$

Step 3

Rewrite so $x$ is on the left side of the inequality.

$x > - 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 9$

Interval Notation:

$(- 9, \infty)$