or
Solve the system of inequalities by graphing.
x<–5
x≥–8
Select a line to change it between solid and dotted. Select a region to shade it.
To graph the system of inequalities x < -5 and x ≥ -8, we need to first graph the lines x = -5 and x = -8.
For x = -5, we draw a vertical line at x = -5. Since x is less than -5, we make it a dotted line.
For x = -8, we draw another vertical line at x = -8. Since x is equal to or greater than -8, we make it a solid line.
Now, we need to shade the region that satisfies both inequalities. Since x is less than -5 in the first inequality and x is equal to or greater than -8 in the second inequality, we want to shade the region between -8 and -5.
Here is a representation of the graph:
```
|
| x = -8 (solid line)
|-------------------------------
x = -5 (dotted line)
```
The shaded region would be the area between the vertical lines x = -8 and x = -5.