Polynomial and Rational Inequalities

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Sharp Tutor Mon, Jan 17, 2022 07:38 PM UTC

OBJECTIVES:
1. Solve quadratic inequalities.
2. Solve polynomial inequalities of degree 3 or more.
3. Solve rational inequalities.

1. Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.7 - 1

2. Chapter 10
Quadratic Equations,
Inequalities,
and Functions
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.7 - 2

3. 10.7
Polynomial and Rational
Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved
Sec 10.7 - 3

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

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

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

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

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

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

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

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

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

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

14. 10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality
–3 0 2
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 14

15. 10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality
Interval Interval Interval Interval
A B C D
( ) (
–3 0 2
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 15

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

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