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]}