Answer
$w \gt \frac{5}{2}$ or $w\lt -3 $
Work Step by Step
Given: $|4w+1| \gt 11$
$4w +1 \gt 11$ or $4w + 1 \lt-11$
$4w \gt 10$ or $4w \lt -12$
$w \gt \frac{5}{2}$ or $w\lt -3 $
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 3 - Solving Inequalities - 3-7 Absolute Value Equations and Inequalities - Practice and Problem-Solving Exercises - Page 211: 40
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