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

Find the linear inequalities for which the shaded region in the given figure is the solution set. Correct Answer x + y ≤ 20, 3x + 2y ≤ 48, x ≥ 0, y ≥ 0

In the given figure, shaded region is in the first quadrant. Hence x ≥ 0, y ≥ 0.

The shaded region is the common area of lines x + y ≤ 20, 3x + 2y ≤ 48 in the first quadrant.

So, the linear inequalities representing the given shaded region are,

x + y ≤ 20, 3x + 2y ≤ 48, x ≥ 0, y ≥ 0

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