Can Someone please explain how to solve this. The directions say, "Solve the system by graphing. Then check your solution."

Try this suggested solution (see the attached picture, the answer is [-2;1]).
1 step to drow the graph required in the condition;
2 step to find intersection point (this is the A point);
3 step, check stage, to solve the system of two equations.
4 to compare the results in step 2 and step 3.