Which of the following inequalities matches the graph?

y > -x

y ≥ 0.5x - 2

Step-by-step explanation:

We start with the dotted line. The first thing that must be done is to find the equation of the line. The equation of the line is y = -x. This means there are two option for the answer. Either it is y > -x or y < -x. Let us pick any point in the shaded area. We pick (2,4). Clearly our answer is y > -x since 4 > -2.

We repeat this for the solid line. The equation of the line is y = 0.5x - 2. Again we get a test point in the shaded region (2,1). This point tells us that the shaded region y ≥ 0.5x - 2 since 1 ≥ 0.5(2) - 2.

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step-by-step explanation:

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