1. Compound Inequalities:

2. Steps:

3. Steps:
Split them apart and treat like two separate equations.

4. Steps: Split them apart and treat like two separate equations.
Where do I split them apart?

5. Steps: Split them apart and treat like two separate equations.
Where do I split them apart?
Solve for the variable (in each).

6. Solve for the variable:
-3 < 2x – 1 < 7

7. Solve for the variable:
2 < 3n – 4 ≤ 14

8. Solve for the variable:
1.5 < w + 3 ≤ 6.5

9. Solve for the variable:
3 > x + 4 > 10

10. Solve for the variable:
-3 > x – 14 ≥ 11

11. Solve for the variable:
10 > 5 – x ≥ 19

12. Write and graph the inequality:
All real numbers n that are at most -3 and at least 5.

13. Write and graph the inequality:
All real numbers x that are less than 3 or greater than 7.

14. Write and graph the inequality:
All real numbers b less than 100 or greater than 300.

15. Solve the compound inequality and graph the solution.
3b – 1 < -7 or 4b + 1 > 9

16. Solve the compound inequality and graph the solution.
7 – 3c ≥ 1 or 5c + 2 ≥ 17

17. Write a compound inequality for the graph.

18. Write a compound inequality for the graph.

19. Write a compound inequality for the graph.

20. Write a compound inequality for the graph.

21. Write a compound inequality for the graph.

22. How to solve the really tough ones:

23. How to solve the really tough ones:
First split the two apart.

24. How to solve the really tough ones:
First split the two apart.
Follow steps one through eight.

25. How to solve the really tough ones:
First split the two apart.
Follow steps one through eight.
2(x + 1) > 3(2x – 2) > 4x -10

26. How to solve the really tough ones:
First split the two apart.
Follow steps one through eight.
x – 2 < 4(x + ½) < 9(1/3 + x)