Final Answer:
The number line graphs correctly match the given inequalities as follows:
1) $ x > -2 $ — open circle at –2, arrow to the right (blue side)
2) $ x < 5 $ — open circle at 5, arrow to the left (red side)
3) $ x \ge -3 $ — closed circle at –3, arrow to the right (blue side)
4) $ x \le 0 $ — closed circle at 0, arrow to the left (red side)
5) $ x < -7 $ — open circle at –7, arrow to the left (red side)
6) $ x \ge 3 $ — closed circle at 3, arrow to the right (blue side)
7) $ x > -1 $ — open circle at –1, arrow to the right (blue side)
8) $ x \le 5 $ — closed circle at 5, arrow to the left (red side)
All eight graphs are correctly drawn and labeled.
Parent Tip: Review the logic above to help your child master the concept of inequalities on a number line.