# Chapter 2 - Section 2.5 - Compound Inequalities - Exercise Set - Page 94: 50

$(\frac{2}{5},2)$

#### Work Step by Step

$3 \lt 5x +1 \lt 11$ 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:$(\frac{2}{5},2)$

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