Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 1.1 - 1.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1.
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Transcript of Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1.
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 2
Quadratic Equations, Inequalities,
and Functions
Chapter 10
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 3
10.7
Polynomial and Rational Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 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.
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 5
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 6
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 7
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 8
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 9
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 10
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
–2 1
Interval Interval IntervalA B C
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 11
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
–2 1
Interval Interval IntervalA B C
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 12
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
–2 1
Interval Interval IntervalA B C
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 13
10.7 Quadratic and Rational Inequalities
Steps for Solving Quadratic Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 14
10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality
0 2–3
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 15
10.7 Quadratic and Rational Inequalities
Solving a Third-Degree Polynomial Inequality
Interval
0 2–3
Interval Interval Interval
A B C D( ()
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 16
10.7 Quadratic and Rational Inequalities
Rational Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 17
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 18
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 19
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval Interval Interval
A B C
F FT
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 20
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval Interval Interval
A B C(
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Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 21
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Interval Interval Interval
A B C( (