Algebra 1

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

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises: 38

Answer

$s\lt5.5$

Work Step by Step

$\frac{4}{3}s-3\lt s+\frac{2}{3}-\frac{1}{3}s\longrightarrow$ combine like terms $\frac{4}{3}s-3\lt \frac{2}{3}s+\frac{2}{3}\longrightarrow$ subtract $\frac{2}{3}s$ from each side $\frac{4}{3}s-3-\frac{2}{3}s\lt \frac{2}{3}s+\frac{2}{3}-\frac{2}{3}s\longrightarrow$ subtract $\frac{2}{3}s-3\lt\frac{2}{3}\longrightarrow$ add 3 to each side $\frac{2}{3}s-3+3\lt\frac{2}{3}+3\longrightarrow$ add $\frac{2}{3}s\lt3\frac{2}{3}\longrightarrow$ multiply each side by $\frac{3}{2}$ $\frac{2}{3}s\times\frac{3}{2}\lt3\frac{2}{3}\times\frac{3}{2}\longrightarrow$ multiply $s\lt5.5$
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