College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.8 - Absolute Value Equations and Inequalities - 1.8 Exercises - Page 154: 55



Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the concepts of absolute value expressions to solve the given inequality, $ |10-4x|\ge-4 .$ $\bf{\text{Solution Details:}}$ The absolute value of a number is the distance of the number from $0,$ and hence, is always a nonnegative number. In the same reason, for any $x$, the expression at the left side is always a nonnegative number. This will always be $\text{ greater than or equal to }$ the expression at the right. Hence, the solution is the set of all real numbers or $ (-\infty,\infty) .$
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