# How do you solve and graph a/9>=-15?

Aug 15, 2017

See a solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{9}$ to solve for $a$ while keeping the equation balanced:

$\textcolor{red}{9} \times \frac{a}{9} \ge \textcolor{red}{9} \times - 15$

$\cancel{\textcolor{red}{9}} \times \frac{a}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}} \ge - 135$

$a \ge - 135$

To graph this we draw a vertical line at $- 135$ on the horizontal axis. We will draw a solid line because the inequality operator has a "or equal to" term in it. We will shade to the right of the line because the inequality operator is a "greater than" term in it.

graph{x >= -135 [-150, 150, -75, 75]}