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: 139


To solve an absolute value inequality, convert the expression into two inequalities without the absolute value, and then solve them separately and unite them after solving. $|x-6|\gt8$ $x-6\gt8$ $x\gt14$ $x-6\lt-8$ $x\lt-2$ $x\lt-2,x\gt14$

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, as well as flipping the sign.
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