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.
To graph the system of inequalities x > -7 and x ≤ 5, we will draw a number line with -7 and 5 labeled.
To represent x > -7, we will use a dotted line because the inequality is strictly greater than. We will put an open circle on -7 to indicate that it is not included in the solution set.
To represent x ≤ 5, we will use a solid line because the inequality is inclusive (x can be equal to 5). We will put a closed circle on 5 to indicate that it is included in the solution set.
Here is the graph of the system of inequalities:
```
--------o------------------o---------
-7 0 5
```
The shaded region represents the solution set, which is all the values of x that satisfy both inequalities. In this case, the shaded region is to the right of -7 and up to (but not including) 5.
Note: The o indicates a circle, while the - represents the number line.