1. Copyright © 2011 Pearson, Inc. 2.8 Solving Inequalities in One Variable

2. Copyright © 2011 Pearson, Inc. Slide 2.8 - 2 What you’ll learn about Polynomial Inequalities Rational Inequalities Other Inequalities Applications … and why Designing containers as well as other types of applications often require that an inequality be solved.

3. Copyright © 2011 Pearson, Inc. Slide 2.8 - 3 Polynomial Inequalities

4. Copyright © 2011 Pearson, Inc. Slide 2.8 - 4 Example Finding where a Polynomial is Zero, Positive, or Negative

5. Copyright © 2011 Pearson, Inc. Slide 2.8 - 5 Example Finding where a Polynomial is Zero, Positive, or Negative -34 (-)(-) 2 (+)(-) 2 (+)(+) 2 negative positive

6. Copyright © 2011 Pearson, Inc. Slide 2.8 - 6 Example Finding where a Polynomial is Zero, Positive, or Negative

7. Copyright © 2011 Pearson, Inc. Slide 2.8 - 7 Example Finding where a Polynomial is Zero, Positive, or Negative

8. Copyright © 2011 Pearson, Inc. Slide 2.8 - 8 Example Finding where a Polynomial is Zero, Positive, or Negative

9. Copyright © 2011 Pearson, Inc. Slide 2.8 - 9 Example Solving a Polynomial Inequality Graphically

10. Copyright © 2011 Pearson, Inc. Slide 2.8 - 10 Example Solving a Polynomial Inequality Graphically

11. Copyright © 2011 Pearson, Inc. Slide 2.8 - 11 Example Creating a Sign Chart for a Rational Function

12. Copyright © 2011 Pearson, Inc. Slide 2.8 - 12 Example Creating a Sign Chart for a Rational Function -31 (-) (-)(-) negative positive (-) (+)(-) (+) (+)(+) (+) (+)(-) negative 0und.

13. Copyright © 2011 Pearson, Inc. Slide 2.8 - 13 Example Solving an Inequality Involving a Radical

14. Copyright © 2011 Pearson, Inc. Slide 2.8 - 14 Example Solving an Inequality Involving a Radical 2 (-)(+)(+)(+) undefined positivenegative 00

15. Copyright © 2011 Pearson, Inc. Slide 2.8 - 15 Quick Review

16. Copyright © 2011 Pearson, Inc. Slide 2.8 - 16 Quick Review Solutions

17. Copyright © 2011 Pearson, Inc. Slide 2.8 - 17 Chapter Test

18. Copyright © 2011 Pearson, Inc. Slide 2.8 - 18 Chapter Test

19. Copyright © 2011 Pearson, Inc. Slide 2.8 - 19 Chapter Test

20. Copyright © 2011 Pearson, Inc. Slide 2.8 - 20 Chapter Test

21. Copyright © 2011 Pearson, Inc. Slide 2.8 - 21 Chapter Test Solutions

22. Copyright © 2011 Pearson, Inc. Slide 2.8 - 22 Chapter Test Solutions

23. Copyright © 2011 Pearson, Inc. Slide 2.8 - 23 Chapter Test Solutions

24. Copyright © 2011 Pearson, Inc. Slide 2.8 - 24 Chapter Test Solutions