Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises: 16

Answer

(-9,-5)

Work Step by Step

1.) Set what the inequality equals to what it originally equals, and then set it to the opposite of that number with the opposite inequality sign x+7$\lt$2 and x+7$\gt$-2 2.) Solve the first inequality for x by subtracting 7 from both sides x+7$\lt$2 -7 -7 x$\lt$-5 3.) Solve the second inequality for x by subtracting 7 from both sides x+7$\gt$-2 -7 -7 x$\gt$-9 4.) Combine the two inequalities to find the set of values x can equal (-9,-5)
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