# How do you solve and graph -p/7> -9?

Sep 7, 2017

#### Answer:

See a solution process below:

#### Explanation:

First, multiply each side of the inequality by $\textcolor{b l u e}{- 7}$ to solve for $p$ while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative number we must reverse the inequality operator:

$\textcolor{b l u e}{- 7} \times \frac{p}{- 7} \textcolor{red}{<} \textcolor{b l u e}{- 7} \times - 9$

$\cancel{\textcolor{b l u e}{- 7}} \times \frac{p}{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{- 7}}}} \textcolor{red}{<} 63$

$p < 63$

To graph this we will draw a vertical line at $63$ on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the left side of the line because the inequality operator does contains a "less than" clause:

graph{x<63 [-100, 100, -50, 50]}