Question

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

Answer 1

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]}