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Question

Mathematics Question on linear inequalities

The shaded region in the figure given is the solution of which of the inequations?
Shaded region of the figure

A

x + y ≥ 7, 2x - 3y + 6 ≥0, x ≥ 0, y ≥ 0

B

x + y ≤ 7, 2x - 3y + 6 ≥0, x ≥ 0, y ≥ 0

C

x + y ≤ 7, 2x - 3y + 6 ≤0, x ≥ 0, y ≥ 0

D

x + y ≥ 7, 2x - 3y + 6 ≤0, x ≥ 0, y ≥ 0

Answer

x + y ≤ 7, 2x - 3y + 6 ≥0, x ≥ 0, y ≥ 0

Explanation

Solution

The correct answer is (B) : x + y ≤ 7, 2x - 3y + 6 ≥0, x ≥ 0, y ≥ 0.