# How do you graph the inequality -7k < 63?

Jul 24, 2018

$k > - 9$

#### Explanation:

Before we graph it, let's solve it.

To solve for $k$, we need to divide both sides by $- 7$. However, when we multiply or divide in an inequality expression, the inequality sign changes to its opposite. In this example, the $<$ will become a $>$.

$\frac{- 7 k}{\textcolor{b l u e}{- 7}} \textcolor{b l u e}{>} \frac{63}{\textcolor{b l u e}{- 7}}$

$k > - 9$

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

(mathwarehouse.com)

The open circle means that $- 9$ is not a solution (but anything greater than it is).

Hope this helps!