Question

How do you solve `y < 2x - 3` and `-2x + y > 5`?

Answer 1

Solve y < 2x - 3
-2x + y > 5

Explanation:

(1) y < 2x - 3
(2) y > 2x + 5
First, graph Line y1 = 2x - 3 by its 2 intercept.
make x = 0 --> y = -3.
The solution set of inequality (1) is the area below the line y1. Color or shade it.
Next, graph Line y2 = 2x + 5 by its 2 intercepts.
The solution set is the area above Line y2. Color or shade it.
The compound solution set is the commonly shared area. The 2 lines ý and y2 are parallel. The striped area between them is the compound solution set.
graph{2x - 3 [-10, 10, -5, 5]}
graph{2x + 5 [-10, 10, -5, 5]}