Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.3 - Graphing Linear Functions - Exercise Set: 59

Answer

$(-∞,-4)U(-1,∞)$

Work Step by Step

We are given that $|2x+5|\gt3$. Therefore, $2x+5\gt3$ or $2x+5\lt-3$. We can solve each equation to find solutions for x. For $2x+5\gt3$, subtract 5 from both sides. $2x\gt-2$ Divide both sides by 2. $x\gt-1$ For $2x+5\lt-3$, subtract 5 from both sides. $2x\lt-8$ Divide both sides by 2. $x\lt-4$
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