# How do you graph the system # x + y ≥ 5# and # x – 2y > 8#?

##### 1 Answer

Jun 3, 2015

(1)

(2)

First, graph the line (1) by its y and x intercepts;

x = 0 -> y = 5

y = 0 -> x = 8

Then, use the origin as test point. Substitute x = 0, y = 0 into the inequality (1) -> -5 > 0. Not true, then the solution set area doesn't contain the origin. Color this area.

Next, graph the Line (2) by its y and x intercepts.

x = 0 -> y = -4

y = 0 -> x = 8

Use O as test point. Replace x = 0, y = 0 into (2) --> -8 > 0. Not true. Then O is outside the solution set area. Color the solution set area.

The combined solution set is the commonly shared area.