Question

How do you graph `-2x + 3y < -6`?

Answer 1

Graph line: - 2x + 3y < - 6 (1)

Explanation:

Bring the line equation to standard form: -2x + 3y + 6 < 0

First, graph the line: -2x + 3y + 6 = 0 by its 2 intercepts.
Make x = 0 -> y = -2. Make y = 0 -> x = 3.
To find the solution set, use the origin O as test point. Replace x = 0 and y = 0 into inequality (1). We get: 0 < -6. Not true. Then, the solution set is the area that doesn't contain O. Color or shade it. That is the answer.
graph{-2x + 3y + 6 = 0 [-10, 10, -5, 5]}