Answer
$\{x|-\frac{11}{2}\lt x\lt\frac{1}{2}\}$
See graph.
Work Step by Step
Multiply 4 to each side,
$-12\lt 2x-1\lt0$
$-11\lt 2x\lt1$
$-\frac{11}{2}\lt x\lt\frac{1}{2}$
thus $\{x|-\frac{11}{2}\lt x\lt\frac{1}{2}\}$
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: 73
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