How do you graph #3 - x < y + 2#?

1 Answer
Jun 2, 2018

See below

Explanation:

First, isolate y by subtracting 2 from both sides.
#1-x < y#
Next, simply graph it as a line (#y=-x+1#) graph{y=-x+1 [-10, 10, -5, 5]}

Now, we need to figure out which side of the line to shade. We can do this by plugging in the coordinate #(0,0)#.

#1-0 < 0#
#1 < 0#

Because this statement is false, #(0,0)# is not in the solution set. Therefore, we shade the side that does not include #(0,0)#
graph{1-x < y [-8.33, 11.67, -3.88, 6.12]}