Question

Find the three inequalities which define the shaded region on the prid.
Answer
[5]

Answer 1

x ≥ 0

y ≥ (1/2)x

y ≤ 4 - x

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