Answer
$(-\infty,\ -20)$
Work Step by Step
We solve the inequality:
$\displaystyle \frac{1}{2}(x-4)\gt x+8$
$\frac{1}{2}x-2\gt x+8$
$-\frac{1}{2}x\gt 10$
$x\lt -20$
Thus, the solution is the interval: $(-\infty,\ -20)$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 1 - Section 1.5 - Solving Inequalities - 1.5 Assess Your Understanding - Page 128: 67
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