## Intermediate Algebra (6th Edition)

$(\frac{5}{4},\frac{11}{4})$
$\frac{1}{2} \lt x - \frac{3}{4} \lt 2$ Using properties of inequalities, $\frac{1}{2} +\frac{3}{4} \lt x - \frac{3}{4} +\frac{3}{4} \lt 2 +\frac{3}{4}$ $\frac{2+3}{4} \lt x \lt \frac{8+3}{4}$ $\frac{5}{4} \lt x \lt \frac{11}{4}$ Interval Notation : $(\frac{5}{4},\frac{11}{4})$