Question

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

Answer 1

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]}