How do you graph 2x-y<6?

1 Answer
Apr 4, 2015

Leave y alone for better readability.

2x-6 < y which is equivalent to:

y>2x-6

First, graph y=2x-6 but since y!=2x-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(0,0) and B(5,0)

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

A:0>-6 correct
B:0>4 incorrect

So the part where A lies will be shaded.

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