# How do you solve -5x + y > -1  and 2x + y < 1?

Jul 31, 2015

This could be re-written as a single compound inequality:
$\textcolor{w h i t e}{\text{XXXX}}$$1 - 2 x > y > 5 x - 1$
or it could be expressed as a graph (see below)

#### Explanation:

$- 5 x + y > - 1$
$\textcolor{w h i t e}{\text{XXXX}}$$\Rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$$y > 5 x - 1$

$2 x + y < 1$
$\textcolor{w h i t e}{\text{XXXX}}$$\Rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$$y < 1 - 2 x$

We could pick a few data points along the corresponding equalities and use these to graph the combination of the inequalities: