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

1 Answer
Aug 2, 2015

Graph and solve the system:
(1) #x > - 2#
(2) #y <= 2x + 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.