# How do you graph the inequality y<abs(x-9)?

Dec 2, 2016

The V-shaped graph is inserted. In the region exterior to V, $y < | x - 9 |$.

#### Explanation:

The equation $y = | x - 9 |$ is the combined equation for

$y = x - 9 , x \ge 9$ and

$y = - \left(x - 9\right) , x \le 9$

representing two half lines, above their common point (9, 0).

For any point below these lines, $y < | x - 9 |$.

graph{y-|x-9|=0 [-40, 40, -20, 20]}