Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.4 - Linear Inequalities and Problem Solving - Exercise Set: 63

Answer

$(-∞,-15)$

Work Step by Step

$\frac{-x+2}{2} - \frac{1-5x}{8} \lt -1$ 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 : $(-∞,-15)$
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