# How do you solve and graph 9.1g+4.5<10.1g?

Sep 29, 2017

See a solution process below:

#### Explanation:

Subtract $\textcolor{red}{9.1 g}$ from each side of the inequality to solve for $g$ while keeping the inequality balanced:

$- \textcolor{red}{9.1 g} + 9.1 g + 4.5 < - \textcolor{red}{9.1 g} + 10.1 g$

$0 + 4.5 < \left(- \textcolor{red}{9.1} + 10.1\right) g$

$4.5 < 1 g$

$4.5 < g$

We can reverse or "flip" the entire inequality to state the solution in terms of $g$:

$g > 4.5$

To graph this we will draw a vertical line at $4.5$ 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 right side of the line because the inequality operator does contain a "greater than" clause:

graph{x>=4.5 [-10, 10, -5, 5]}