College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 42


Interval: $(-\infty,\ \infty)$

Work Step by Step

$7|x+2|+5\gt4$ $7|x+2|\gt4-5$ $ 7|x+2|\gt-1$ $|x+2|\gt-\frac{1}{7}$ The absolute value is always positive and thus is always greater than $-\frac{1}{7}$. So this inequality holds true for all real numbers. Interval: $(-\infty,\ \infty)$
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