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

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 $\left(0 , 0\right)$.

$1 - 0 < 0$
$1 < 0$

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