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.
First, let's graph the inequality x > -7.
Since it is an inequality with a "greater than" symbol, the line will be dotted.
To graph it, we draw a vertical line passing through x = -7, but we will not include (-7) itself on the line.
Now let's graph the inequality x ≤ 5.
Since it is an inequality with a "less than or equal to" symbol, the line will be solid.
To graph it, we draw a vertical line passing through x = 5, and we include (5) itself on the line.
Now, we shade the region where the two inequalities overlap. This will be the region to the right of the line x = -7, but to the left of the line x = 5.
The shaded region is the final solution to the system of inequalities.
[NOTE: The graph may not be accurately represented in text format.]