Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1.
Jan 21, 2016
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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 1
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 2
Quadratic Equations, Inequalities,
and Functions
Chapter 10
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 10.7 - 3
10.7
Polynomial and Rational Inequalities
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 5
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 6
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 7
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 8
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 9
10.7 Quadratic and Rational Inequalities
Solving Quadratic Inequalities Using Test Numbers
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
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
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
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 13
10.7 Quadratic and Rational Inequalities
Steps for Solving Quadratic Inequalities
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
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( ()
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 16
10.7 Quadratic and Rational Inequalities
Rational Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 17
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 10.7 - 18
10.7 Quadratic and Rational Inequalities
Solving Rational Inequalities
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
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(
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( (
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