# How do you solve and graph  8x > 7x - 4 ?

Dec 8, 2017

See a solution process below:

#### Explanation:

Subtract $\textcolor{red}{7 x}$ from each side of the inequality to solve for $x$ while keeping the inequality balanced:

$8 x - \textcolor{red}{7 x} > 7 x - \textcolor{red}{7 x} - 4$

$\left(8 - \textcolor{red}{7}\right) x > 0 - 4$

$1 x > - 4$

$x > - 4$

To graph this we will draw a vertical line at $- 4$ 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 also contains a "greater than" clause:

graph{x > -4 [-10, 10, -5, 5]}