## Intermediate Algebra (6th Edition)

$(\frac{2}{5},2)$
$3 \lt 5x +1 \lt 11$ Using the properties of inequalities, $3-1 \lt 5x +1 -1 \lt 11-1$ $2 \lt 5x \lt 10$ $\frac{2}{5} \lt \frac{5}{5}x \lt \frac{10}{5}$ $\frac{2}{5} \lt x \lt 2$ Interval Notation:$(\frac{2}{5},2)$