Solve the system of inequalities by graphing.
x>–2
x<8
Select a line to change it between solid and dotted. Select a region to shade it.
The first inequality, x > -2, represents all values of x that are greater than -2. This is a vertical line passing through -2 on the x-axis. Since x is not equal to -2, the line should be dotted.
The second inequality, x < 8, represents all values of x that are less than 8. This is a vertical line passing through 8 on the x-axis. Since x is not equal to 8, the line should be dotted.
To solve the system of inequalities, we need to find the region that satisfies both inequalities. This region is the area between the two lines.
Graphing the system of inequalities, we get:
Graph:
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-2| /
| /
| /
| /
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
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8
We can see that the solution lies in the shaded area between the two dotted lines.