Answer:
The answer to your question is:
x + 2y - 4 ≥ 0 and 2x -y -3 > 0
Step-by-step explanation:
First look for two points of each line to fine the line equations
1 st line points: (2, 1) ; (0, 2)
2nd line points: (2, 1) ; (3, 3)
1st line slope
m = (2 - 1) / (0 - 2) = 1 / -2 = -1/2
2nd line slope
m = (3 - 1) / ( 3 - 2) = 2 / 1 = 2
1st line
y - 1 = -1/2 (x - 2)
2y - 2 = -1(x - 2)
2y - 2 = -x + 2
x + 2y - 4 = 0 Inequality x + 2y - 4 ≥ 0
2nd line
y - 1 = 2(x - 2)
y - 1 = 2x - 4
2x -y -3 = 0 Inequality 2x -y -3 > 0
