Intermediate Algebra (6th Edition)

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

Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set - Page 94: 41

Answer

$\left( -\infty,-4 \right)\cup\left( -2,\infty \right)$

Work Step by Step

Solving the inequalities separately results to \begin{array}{l} x+4<0\\ x-12\\ x>-2 .\end{array} Using the conjuntion "or", the solution set is the combined solutions sets of both inequalities. Hence, the solution set is $ \left( -\infty,-4 \right)\cup\left( -2,\infty \right) $.
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