# How do you graph  x > -2  and y <= 2x + 7?

Aug 2, 2015

Graph and solve the system:
(1) $x > - 2$
(2) $y \le 2 x + 7$

#### Explanation:

First, graph the vertical line x = -2.
The solution set of inequality (1) is the area on the right side of vertical line x = -2. Color it.
Next, graph Line (2) --> y = 2x + 7.
The solution set of inequality (2) is the area below this Line (2). Color it.
The compound solution set is the commonly shared area.
graph{2x + 7 [-10, 10, -5, 5]}

NOTE. The line (2) is also included in the compound solution set.