## Intermediate Algebra (6th Edition)

$(-∞,-15)$
$\frac{-x+2}{2} - \frac{1-5x}{8} \lt -1$ Multiply both sides by LCD $8$ $8(\frac{-x+2}{2} - \frac{1-5x}{8} )\lt 8(-1)$ Using distributive property, $8(\frac{-x+2}{2}) - 8(\frac{1-5x}{8} ) \lt -8$ $4(-x+2)-(1-5x) \lt -8$ $-4x+8-1+5x \lt -8$ $x+7 \lt -8$ Add $-7$ to both sides. $x+7-7 \lt -8-7$ $x \lt -15$ Solution set in Interval Notation : $(-∞,-15)$