1. 5.4 – Solving Compound Inequalities

2. Ex. Solve and graph the solution.

3. a. -5 < x – 4 < 2

4. Ex. Solve and graph the solution. a. -5 < x – 4 < 2

5. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4

6. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4

7. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2

8. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4

9. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 -1 < x

10. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x

11. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6

12. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6

13. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x

14. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x

15. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

16. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

17. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

18. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

19. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

20. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

21. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6

22. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 0

23. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 0

24. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

25. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

26. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

27. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

28. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

29. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

30. Ex. Solve and graph the solution. a. -5 < x – 4 < 2 -5 < x – 4 and x – 4 < 2 +4 +4 -1 < x and x < 6 -1 < x < 6 06

31. b. -3h + 4 18

32. - 4 - 4

33. b. -3h + 4 18 - 4 - 4 -3h < 15

34. b. -3h + 4 18 - 4 - 4 -3h < 15 -3 -3

35. b. -3h + 4 18 - 4 - 4 -3h < 15 -3 -3 h > -5

36. b. -3h + 4 18 - 4 - 4 +3 +3 -3h < 15 -3 -3 h > -5

37. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 h > -5

38. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5

39. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3

40. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3

41. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0

42. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

43. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

44. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

45. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

46. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

47. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

48. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

49. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

50. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

51. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

52. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 0-53

53. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 c. 1 + x < -3 or -x < -4 0-53

54. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 c. 1 + x < -3 or -x < -4 -1 -1 0-53

55. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 c. 1 + x < -3 or -x < -4 -1 -1 x 4 0-53

56. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 c. 1 + x < -3 or -x < -4 -1 -1 x 4 0-53

57. b. -3h + 4 18 - 4 - 4 +3 +3 -3h 21 -3 -3 7 7 h > -5 or h > 3 c. 1 + x < -3 or -x < -4 -1 -1 x 4 0-53 0-44