Solve the system of inequalities by graphing.
y> –10
y< –8
Select a line to change it between solid and dotted. Select a region to shade it.
Since the two inequalities are both in terms of y, we can graph them on a number line.
First, we will graph y > -10. Since this is a greater than inequality, the line will be dotted since it does not include the boundary. We will shade the region above the line.
Next, we will graph y < -8. Since this is a less than inequality, the line will be dotted since it does not include the boundary. We will shade the region below the line.
Putting both of these together on a number line, we will have a solid line at y = -8 (since it is less than) and a dashed line at y = -10 (since it is greater than). The region that satisfies both inequalities is the area between these two lines.
Graph:
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-10 -8
On the graph, the region that satisfies both inequalities is the region between the two lines, shaded.