How do you graph the system #2x - 5y > 0# and #x -4y > -8#?
(1) 5y < 2x -> y < 2x/5
(2) x - 4y > -8 -> 4y < x + 8 -> y < x/4 + 2
First graph the line y1 = 2x/5.
The solution set of the inequality (1) is the area below this Line y1. Color this area.
Next, graph the line y2 = x/4 + 2
The solution set is the area below this Line y2. Color it.
The combined solution set is the commonly shared area.