Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.4 - Nonlinear Inequalities in One Variable - Exercise Set: 1

Answer

$(-\infty, -5) \cup (-1, +\infty)$

Work Step by Step

$(x+1)(x+5)\gt0$ $(x+1)(x+5) =0$ $x=-1$ or $x=-5$ Plot these numbers on a number line,split them into intervals, take one test point from each interval, and check them to see if they are true. If they are true, then it is a solution. In this case, it is $(-\infty, -5) \cup (-1, +\infty)$
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