Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-6 Compound Inequalities - Practice and Problem-Solving Exercises: 14

Answer

$14\leq k\leq26$
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Work Step by Step

$15\leq\frac{20+11+k}{3}\leq19\longrightarrow$ multiply all 3 parts by 3 $15\times3\leq\frac{20+11+k}{3}\times3\leq19\times3\longrightarrow$ multiply $45\leq31+k\leq57\longrightarrow$ subtract 31 from all 3 parts $45-31\leq31+k-31\leq57-31\longrightarrow$ subtract $14\leq k\leq26$
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