Find the three inequalities which define the shaded region on the prid.
Answer
[5]
![Find the three inequalities which define the shaded region on the prid. Answer [5] class=](https://us-static.z-dn.net/files/d91/85b9d769a4dc9118d9beb98c388c3d03.png)
Answer:
x ≥ 0
y ≥ (1/2)x
y ≤ 4 - x
Step-by-step explanation:
Solid lines: ≤ and ≥
Dashed lines: < and >
You need to create linear equations for the diagonal lines.
Shaded areas are ≥ if it is shaded above the line, and ≤ if shaded below the line.
Inequalities:
vertical line: x ≥ 0
diagonal line with positive gradient: y ≥ (1/2)x
diagonal line with negative gradient: y ≤ 4 - x