College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.7 - Page 198: 138

Answer

To solve an absolute value inequality, convert the expression into a compound inequality without the absolute value, and then solve for the variable by isolating it. $|x-6|\lt8$ $-2\lt x-6\lt14$ $4\lt x\lt20$

Work Step by Step

Remember that removing the absolute value means solving for the positive and negative version of the other side when the other side is not negative.
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