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The graph shows the solution to a system of inequalities:

Which of the following inequalities is modeled by the graph?

A.

4x + 3y \leqslant 12;x \geqslant 0
B.

4x + 3y \geqslant 12;x \geqslant 0
C.

4x - 3y \leqslant 12;x \geqslant 0
D.

- 4x - 3y \leqslant 12;x \geqslant 0



The graph shows the solution to a system of inequalities: Which of the following inequalities-example-1
User Kmdent
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1 Answer

1 vote

Answer:

Option A.
4x+3y\leq 12 and
x\geq 0

Explanation:

we know that

The solution of the first inequality is the shaded area below the solid line
4x+3y=12

The solid line passes through the points (0,4) and (3,0) (the y and x intercepts)

therefore

The first inequality is


4x+3y\leq 12

The solution of the second inequality is the shaded area to the right of the solid line x=0

therefore

The second inequality is


x\geq 0

User Aercolino
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