How do you graph the inequality #2y>=x-3#?

1 Answer
Jun 16, 2018

Solve this inequality.
#2y >= x - 3#
#y >= x/2 - 3/2# (1)
First, graph the Line #(y = x/2 =- 3/2)# by the 2 axis intercepts.
x = 0 --> #y = -3/2#
y = 0 --> x = 3
The solution set of the inequality (1) is the area above the Line.
The Line is included in the solution set (because of the the sign =)
graph{x/2 - 3/2 [-10, 10, -5, 5]}