# How do you graph y > 6x+5 and y< -6x+7?

Aug 4, 2015

Determine the areas represented by each inequality and then select only the area covered by both selections

#### Explanation:

$\textcolor{red}{\text{For } y > 6 x - 5}$
$\textcolor{w h i t e}{\text{XXXX}}$Identify 2 points on the corresponding equality equation
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$I used ($x = 0 \rightarrow y = - 5$) and ($x = 2 \rightarrow y = - 5$)

$\textcolor{w h i t e}{\text{XXXX}}$Draw the line through these two points (noting that in this case the line is not to be included) and select the side corresponding to the inequality.
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$One way to do this is to test if $\left(0 , 0\right)$ is in the included or excluded area.

$\textcolor{b l u e}{\text{For } y < - 6 x + 7}$
$\textcolor{w h i t e}{\text{XXXX}}$Repeat the above process

$\textcolor{g r e e n}{\text{Select area common to both}}$
$\textcolor{w h i t e}{\text{XXXX}}$(see image below)