# How do you solve and graph  20b ≥ -120 ?

Aug 27, 2017

See a solution process below:

#### Explanation:

Divide each side of the inequality by $\textcolor{red}{20}$ to solve for $b$ while keeping the inequality balanced:

$\frac{20 b}{\textcolor{red}{20}} \ge - \frac{120}{\textcolor{red}{20}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{20}}} b}{\cancel{\textcolor{red}{20}}} \ge - 6$

$b \ge - 6$

To graph this we will draw a vertical line at $- 6$ on the horizontal axis.

The line will be a solid line because the inequality operator contains an "or equal to" clause.

We will shade to the right side of the line because the inequality operator also contains a "greater than" clause:

graph{x>=-6}