Question

Find the linear inequalities for which the shaded region in the given figure is the solution set.
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Answer 1

please see the attachment

Answer 2

Answer:

x ≥ 0  y ≥ 0

Step-by-step explanation:

According to the question,

Considering 3x + 2y = 48,

The shaded region and the origin both are on the same side of the graph of the line and (0, 0) satisfy the constraint 3x + 2y ≤ 48.

Considering x + y = 20,

The shaded region and the origin both are on the same side of the graph of the line and (0, 0) satisfy the constraint x + y ≤ 20.

We also know that, Shaded region is in the first quadrant i.e. x ≥ 0 and y ≥ 0,

Hence,

the linear inequalities are 3x + 2y ≤ 48 x + y ≤ 20 x ≥ 0 y ≥ 0