Answer
$\{x|-\frac{2}{3}\lt x\lt2\}$
See graph.
Work Step by Step
Multiply 2 to each side,
$0\lt 3x+2\lt8$
$-2\lt 3x\lt6$
$-\frac{2}{3}\lt x\lt2$
thus $\{x|-\frac{2}{3}\lt x\lt2\}$
See graph.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.10 Internal Notation; Solving Inequalities - A.10 Assess Your Understanding - Page A87: 74
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