Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Appendix D - Exercise Set - Page 997: 102

Answer

$x < 17/4$ or $x > -3/4$

Work Step by Step

$abs(\frac{4x-7} {5}) < 2$ $(\frac{4x-7} {5}) < 2$ or $(\frac{4x-7} {5}) > -2$ $(\frac{4x-7} {5})*5 < 2*5$ $4x-7 < 10$ $4x-7+7 < 10+7$ $4x < 17$ $4x/4 < 17/4$ $x < 17/4$ $(\frac{4x-7} {5}) > -2$ $(\frac{4x-7} {5})*5 > -2*5$ $4x-7 > -10$ $4x-7+7 > -10+7$ $4x > -3$ $4x/4 > -3/4$ $x > -3/4$
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