Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises - Page 190: 38



Work Step by Step

$\frac{4}{3}s-3\lt s+\frac{2}{3}-\frac{1}{3}s$ Combine like terms $\frac{4}{3}s-3\lt \frac{2}{3}s+\frac{2}{3}$ Subtract $\frac{2}{3}s$: $\frac{4}{3}s-\frac{2}{3}s-3\lt \frac{2}{3}s-\frac{2}{3}s+\frac{2}{3}$ Simplify: $\frac{2}{3}s-3\lt\frac{2}{3}$ Add 3 to both sides: $\frac{2}{3}s-3+3\lt\frac{2}{3}+3$ Simplify: $\frac{2}{3}s\lt\frac{2}{3}+\frac{9}{3}$ $\frac{2}{3}s\lt\frac{11}{3}$ Mulifply both sides by $\frac{3}{2}$: $\frac{2}{3}s\times\frac{3}{2}\lt\frac{11}{3}\times\frac{3}{2}$ Simplify: $s\lt\frac{11}{2}$
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