Question

How do you graph `y > x - 2` and `y < 2x + 1`?

Answer 1

Graph
(1) y > x - 2
(2) y < 2x + 1

Explanation:

First, graph Line 1: y = x - 2 by its 2 intercepts.
Make x = 0 --> y = -2. Make y = 0 --> x = 2.
The solution set of inequality (1) is the area above the line. Color it.
Next graph the Line 2: y = 2x + 1 by its 2 intercepts.
The solution set of inequality (2) is the area below this line. Color it.
The compound solution set is the commonly shared area.
graph{x - 2 [-10, 10, -5, 5]}
graph{2x + 1 [-10, 10, -5, 5]}