# How do you solve \frac{x}{- 3} + 5\geq 6?

##### 1 Answer
Oct 10, 2016

$x \le - 3$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{x}{- 3} + 5 \ge 6$

You can add or subtract the same amount to both sides of an inequality without effecting the validity or orientation of the inequalty.
Subtract $5$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} \frac{x}{- 3} \ge 1$

Multiplying or dividing both sides of an inequality reverses the direction of the inequality.
multiply both sides by $\left(- 3\right)$
$\textcolor{w h i t e}{\text{XXX}} x \le - 3$