Answer
$\frac{-4}{5} \lt x \lt \frac{8}{5}$
Work Step by Step
$$|5x-2| \lt 6$$
$$-6 \lt 5x-2 \lt 6$$
$$-6+2 \lt 5x-2+2 \lt 6+2$$
$$-4 \lt 5x \lt 8$$
$$\frac{-4}{5} \lt \frac{5x}{5} \lt \frac{8}{5}$$
$$\frac{-4}{5} \lt x \lt \frac{8}{5}$$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 54
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