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The graph below shows the solution to a system of inequalities: Which of the following inequalities is modeled by the graph? 5x + 4y ≥ 15; y ≥ 0 5x - 4y ≥ 15; y ≥ 0 5x + 4y ≤ 15; y ≥ 0 -5x - 4y ≥ 15; y ≥ 0
First of all, the line in the graph is 5x+4y=15 as you can see,so it is A or C. Then, again, you can check the answer by putting a point in the equation. For example, take the point (0,0) from the shaped area. Put it into the equation 5*0+4*0=0 which is smaller then 15. Hence, the correct answer is C which satisfies the inequality (smaller).
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