Intermediate Algebra (6th Edition)

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

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set - Page 87: 94

Answer

All the integers less than $-5$, excluding $-5$ itself, make both inequalities true. $(-\infty,-5)$

Work Step by Step

$x\lt6$ and $x\lt-5$ The first inequality includes all the numbers that are less than $6$ and the second one includes all the numbers that are less that $-5$. Since $-5\lt6$, all the integers less than $-5$, excluding $-5$ itself, make both inequalities true. We can express it in interval form as: $(-\infty,-5)$
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