Write down the three inequalities that define the shaded region
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Since the shaded area is below the x-axis, the first inequality is y≤0, since we wish to include the boundary of the shaded area. Since the shaded area is to the right of the y-axis, the second inequality is x≥0. The shaded region is above the line y=−1, so the third equation is y≥−1.
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The inequalities are:
Step-by-step explanation:
The three inequalities are as follows:
- The first inequality is y≤0, because the shaded region lies below the x-axis, and we want to include the shaded area's perimeter.
- The second inequality is x≥0 because the darkened area is to the right of the y-axis.
- Because the shaded region lies above the y=-1 line, the third equation is y≥−1.
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