1. Solving Rational Equations and Inequalities
Objective: Use algebra to solve rational inequalities.

5. Example 1

6. Example 1

7. Example 1

8. Example 1

9. Example 2

10. Example 2

11. Example 2

12. Try This
Solve

13. Try This
Solve

14. Try This
Solve

15. Extraneous Solutions
Sometimes solving a rational equation introduces extraneous solutions. An extraneous solution is a solution to a resulting equation that is not a solution to the original equation. Therefore, it is important to check your answers.

16. Example 3

17. Example 3

18. Example 3

19. Example 3

20. Try This
Solve

21. Try This
Solve

22. Try This
Solve

23. Try This
Solve

24. Try This
Solve

25. Example 4

26. Example 4

27. Example 4

28. Try This
Solve

29. Try This
Solve
If x+2 > 0, then
x > -2

30. Try This Solve If x+2 > 0, then If x + 2 < 0, then
x > x < -2

31. Try This
Solve

32. Example 5

33. Example 5

34. Example 5

35. Example 5

37. Homework
Pages
9-27 odd