# How do you graph 2x-y<6?

Apr 4, 2015

Leave $y$ alone for better readability.

$2 x - 6 < y$ which is equivalent to:

$y > 2 x - 6$

First, graph $y = 2 x - 6$ but since $y \ne 2 x - 6$ the line should be a dashed line. That dahsed line will divide the coordinate plane into two. Select $2$ random points from each part.

Lets say $A \left(0 , 0\right)$ and $B \left(5 , 0\right)$

Plug these to the inequality to see which part of the coordinate plane is satisfying this inequality.

$A : 0 \succ 6$ correct
$B : 0 > 4$ incorrect

So the part where $A$ lies will be shaded.

graph{y>2x-6 [-10, 10, -5, 5]}