Question

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

Answer 1

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

Answer 2

Answer:

Step-by-step explanation:

1) y ≥ x/2

2) y ≤ -x

3) x ≥ 0