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SOLUTIONS MANUAL
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COLLEGE ALGEBRA
WITH INTERMEDIATE ALGEBRA
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A B LENDED C OURSE
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Judith A. Beecher
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Judith A. Penna
Barbara L. Johnson
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Ivy Tech Community College of Indiana
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Marvin L. Bittinger
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Indiana University Purdue University Indianapolis
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Boston Columbus Indianapolis New York San Francisco
Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto
Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo
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The author and publisher of this book have used their best efforts in preparing this book. These efforts include the
development, research, and testing of the theories and programs to determine their effectiveness. The author and
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publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation
contained in this book. The author and publisher shall not be liable in any event for incidental or consequential
damages in connection with, or arising out of, the furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
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Copyright © 2017 Pearson Education, Inc.
Publishing as Pearson, 501 Boylston Street, Boston, MA 02116.
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any
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form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written
permission of the publisher. Printed in the United States of America.
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ISBN-13: 978-0-13-455587-4
ISBN-10: 0-13-455587-2
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www.pearsonhighered.com
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Contents
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Chapter R . . . . . . . . . . . . . . . . . . . . . . . . . .1
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . 17
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . 45
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Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 77
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . 139
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 175
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Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 199
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 255
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 341
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Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 403
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 455
Chapter 12 . . . . . . . . . . . . . . . . . . . . . . . . . 509
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, Chapter R
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Review of Basic Algebra
46. True, since −7 = −7 is true.
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Exercise Set R.1 1
48. True, since −11 > −13 is true.
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RC2. The correct answer is (b). See page R-2 in the text.
50. x < −1
RC4. The correct answer is (f). See page R-3 in the text.
⫺1 0
RC6. The correct answer is (d). See page R-4 in the text.
√ 52. x ≥ −1
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2. 0, 1, 12, 25
⫺1 0
√ 12
4. −6, 0, 1, −4, 12, 25, −
3 54. x < 0
√
6. 3, 0.131331333133331 . . .
0
8. 12
56. x ≤ 0
11 7
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10. −3.43, −11, 12, 0, ,−
34 13
0
12. All of them
58. 3
14. {s, o, l, v, e}
60. 16
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16. {1, 3, 5, 7, 9, 11}
62. 127
18. {−3, −2, −1}
13
64.
20. {x|x is an integer greater than 3 and less than 11} 8
66. 16.4
22. {x|x is a rational number or x is an irrational number}, or
{x|x is a real number} 68. 465
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24. {x|x is a real number and x ≤ 21}, or {x|x ≤ 21} 0
70. = |0| = 0
−15
26. 18 > 0
72. | − 5| ≥ | − 2|
28. 7 > −7
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74. | − 8| ≤ |8|, or | − 8| ≥ |8| since | − 8| = |8|
30. 0 > −11
32. −6 < −3 Exercise Set R.2
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34. −7 > −10
RC2. The opposite of a negative number is positive.
1 11
36. −13 <
5 250 RC4. The absolute value of a negative number is positive.
38. −13.99 < −8.45 RC6. The sum of 0 and a negative number is negative.
14 27
40. − = −0.933 . . . and − = −0.509433962 . . . , so RC8. The quotient of a negative number and a positive num-
15 53
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14 27 ber is negative.
− <− .
15 53 2. −25
42. 7 > x
4. 2
2
44. t ≤ 10 6. −12
3
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c 2017 Pearson Education, Inc.