# How do you solve and graph -h/10<=2?

Jul 25, 2018

$h \ge - 20$

#### Explanation:

$- \frac{h}{10} \le 2$

To solve for $h$, multiply both sides by $\textcolor{b l u e}{- 3}$. However, when we multiply or divide by a negative value in inequalities, the sign changes. In this example, the $\le$ would change to $\ge$:
$- \frac{h}{10} \cdot - 10 \textcolor{b l u e}{\ge} 2 \cdot - 10$

Therefore,
$h \ge - 20$

Here's a graph of it on a number line:

(mathwarehouse.com)

The closed circle on $- 20$ means that it is a solution (and anything more than it is too).

Hope this helps!