# How do you solve 3x > -6?

Nov 1, 2015

Divide both sides of the inequality by $3$ to find:

$x > - 2$

#### Explanation:

In general you can perform any of the following operations on an inequality and preserve its truth:

(1) Add or subtract the same value on both sides.
(2) Multiply or divide both sides by the same positive value.
(3) Multiply or divide both sides by the same negative value and reverse the inequality ($\le$ becomes $\ge$, $>$ becomes $<$, etc.).