# How do you solve and graph 8x+5<=3x +6?

Jul 22, 2015

$x \le \frac{1}{5}$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(see below for graph)

#### Explanation:

$8 x + 5 \le 3 x + 6$

$\Rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$$5 x \le 1$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$(after subtracting $\left(3 x + 5\right)$ from both sides)

$\Rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$$x \le \frac{1}{5}$

This could be graphed on a number line as: