2. Quadratic Equations, Inequalities, and Functions
Chapter 10
Quadratic Equations, Inequalities,
and Functions

3. Polynomial and Rational Inequalities
10.7
Polynomial and Rational Inequalities

4. 10.7 Quadratic and Rational Inequalities
Objectives
Solve quadratic inequalities.
Solve polynomial inequalities of degree 3 or more.
Solve rational inequalities.
Copyright © 2010 Pearson Education, Inc. All rights reserved.

5. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

6. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

7. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

8. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

9. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
Copyright © 2010 Pearson Education, Inc. All rights reserved.

10. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers –2 1
Interval A B C
Copyright © 2010 Pearson Education, Inc. All rights reserved.

11. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers –2 1
Interval A B C
Copyright © 2010 Pearson Education, Inc. All rights reserved.

12. 10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers –2 1
Interval A B C
Copyright © 2010 Pearson Education, Inc. All rights reserved.

13. 10.7 Quadratic and Rational Inequalities
Steps for Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

14. 10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality 2 –3
Copyright © 2010 Pearson Education, Inc. All rights reserved.

15. 10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality
Interval 2 –3 A B C D ( ) (
Copyright © 2010 Pearson Education, Inc. All rights reserved.

16. 10.7 Quadratic and Rational Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

17. 10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

18. 10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved.

19. 10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval
Interval
Interval A B C F T F
Copyright © 2010 Pearson Education, Inc. All rights reserved.

20. 10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval
Interval
Interval A B C (
Copyright © 2010 Pearson Education, Inc. All rights reserved.

21. 10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval
Interval
Interval A B C ( (
Copyright © 2010 Pearson Education, Inc. All rights reserved.