Solve the system of inequalities by graphing.
x> –7
x≤5
Select a line to change it between solid and dotted. Select a region to shade it.
The solution to the system of inequalities is -7 < x ≤ 5.
To graph this system of inequalities, we will first graph the lines x = -7 and x = 5 using dashed lines (since x is strictly greater than -7 and less than or equal to 5).
Then, we will shade the region between -7 and 5 to show the solution set.
Here is the graph:
-7 5
|-------------------|------------------|----------------------
<-----------------------|------------------>
The shaded region should cover the area between -7 and 5 on the x-axis, but not include the endpoints.