Question

How do you graph the inequality `x+2y > -8`?

Answer 1

Are above the line x + 2y + 8 = 0

Explanation:

Bring the inequality to standard form:
f(x,y) = x + 2y + 8 > 0
First, graph the Line x + y - 8 = 0 by its 2 intercepts.
Make x = 0, y-intercept --> 2y = -8 --> y = -4
Make y = 0, x-intercept --> x = -8.
To find the solution set, consider the the origin O's position. Replace x = 0 and y = 0 into the inequality, we get 8 > 0. It is true, then, O is located in the solution set area, that is above the Line.