Question

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

Answer 1

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>=9` and

`y=-(x-9), x <= 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]}