## Algebra 1: Common Core (15th Edition)

$s\lt\frac{11}{2}$
$\frac{4}{3}s-3\lt s+\frac{2}{3}-\frac{1}{3}s$ 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: $s\lt\frac{11}{2}$