How do you graph 3 - x < y + 23x<y+2?

1 Answer
Jun 2, 2018

See below

Explanation:

First, isolate y by subtracting 2 from both sides.
1-x < y1x<y
Next, simply graph it as a line (y=-x+1y=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)(0,0).

1-0 < 010<0
1 < 01<0

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