# How do you solve and graph -3n > 9?

Jul 25, 2018

$n < - 3$

#### Explanation:

$- 3 n > 9$

To solve for $n$, divide 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 $>$ would change to $<$:
$\frac{- 3 n}{\textcolor{b l u e}{- 3}} \textcolor{b l u e}{<} \frac{9}{\textcolor{b l u e}{- 3}}$

Therefore,
$n < - 3$

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

(mathwarehouse.com)

The open circle on the $- 3$ means that it is no a solution (but anything less than it is).

Hope this helps!