# How do you graph #2y ≤ x - 5#?

##### 1 Answer

Jun 7, 2015

(1)

There are 2 ways:

1. Graph the line y = x/2 - 5/2 by slope-intercept form.

x = 0 y-intercept = -5/2

x = 2 -> y = 1 - 5/2 = -3/2

The solution set of the inequality (1) is the area below the Line. Color this area

- By the standard form:
#2y - x + 5 <= 0#

x = 0 -> y = -5/2

y = 0 -> x = 5

Use the origin O as test point. Replace x = 0, y = 0 into inequality (1). It is 5 < 0. Untrue. Then the solution set of inequality (1) is the area below the Line. Color it.

graph{2y - x + 5 = 0 [-10, 10, -5, 5]}