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.
To solve this system of inequalities by graphing, we will first draw a number line and mark the critical points, which are -2 and 8.
Next, we will draw a solid dot at -2 because x is strictly greater than -2, and a hollow dot at 8 because x is strictly less than 8.
After marking the critical points, we will draw a solid line from the dot at -2 to the left, and from the dot at 8 to the right.
Finally, we will shade the region between the two lines, excluding the dots, as shown in the graph below:
*[illustration system_of_inequalities]