Question

How do you graph the system `y< 2x-1` and `y> 2-x`?

Answer 1

(1) -> y < 2x - 1

(2) --> y > -x + 2

First graph the line y1 = 2x - 1.
The solution set of the inequality (1) is the area below this line. Color this area.
Next, graph the Line y2 = -x + 2. The solution set of the inequality (2) is the area above this line. Color it.
The combined solution set of the system is the commonly shared area.