1. 200 300 100 200 300 100 200 300 100 200 300 100 200 300 100 Polynomial Inequalities Rational Inequalities Systems of Inequalities Describing Graphs Absolute Value Inequalities Interval Notation 100 200 300 Applying Inequalities 100 200 300

2. Solve x 2 <-x+6

3. -3<x<2

4. Solve x 2 + 2 ≥ 3x

5. x ≤ 1 or x ≥ 2

6. Solve x 3 <x

7. x < -1 or 0 < x < 1

8. Solve

9. x 1

10. What is a rational function?

11. A function of the form where and are polynomials.

12. Solve

13. x<-3 or -3<x<3 or x<3 and x≠-3

14. Graph the solution to the system of inequalities: y ≥ -x + 1 y ≥ x

16. Graph the solution to the system of inequalities: 2x - y ≤ 2 2y + x < 2

18. Graph the solution to the system of inequalities: y ≥ x 2 – 2 x ≥ -3y + 6

20. Describe the following graph with an inequality.

21. y≤-x+10

22. Describe the following graph with a system of inequalities.

23. ⅓x – 3 ≤ y ≤ ⅓x + 3

24. Describe the following graph with a system of inequalities.

25. 0 ≤ y ≤ 2x x < 3

26. Solve | 2x + 3 | < 6

27. -4.5 < x < 1.5

28. Solve | 5x | > 15

29. x 3

30. Solve | x + 12 | + 3 > 17

31. X 2

32. Graph [-9, -5) U (0, ∞) on a number line Graph [-9, -5) U (0, ∞) on a number line

34. Solve (x + 4)(x – 2)(x - 7) > 0. Write the solution in interval notation.

35. (-4, 2)U(7, ∞)

36. Solve x 3 > 2x. Write the solution in interval notation. Solve x 3 > 2x. Write the solution in interval notation.

37. (-,0) U (,∞) (-,0) U (,∞)

38. The profit a company earns as a function of items sold, x, is represented by P(x)=x 2 +2x-8, write an inequality to describe how many items need to be sold in order for the company to make a profit.

39. x > 2

40. Your new cell phone plan has a monthly access fee of $28.72 with a flat rate of $0.31 per minute. If you want to keep your monthly bill under $40, how many minutes per month can you talk on your new cell phone?

41. Let x = number of minutes spent talking $28.72 +.31x < 40.31x < 11.28 x < 36.38709677 You can use up to 36 minutes per month.

42. The height of a rocket in feet is represented by the equation h(t)=-16t 2 +64t+72, where t=time, in seconds. For what values of t will the rocket remain at or above 100 feet from the ground.

43. 0.5 ≤ t ≤ 3.5