Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix A - Equations and Inequalities: 100

Answer

The equivalent interval notation is $(-\frac{13}{4}, \frac{3}{4}]$.

Work Step by Step

$1$ $\leq$ $\frac{4x - 5}{-2}$ $\lt$ $9$ $1 * -2$ $\geq$ $4x - 5$ $\gt$ $9 * -2$ (Inequality sign reversed because of multiplication of -2) $-2 + 5$ $\geq$ $4x$ $\gt$ $-18 + 5$ $\frac{3}{4}$ $\geq$ $x$ $\gt$ $- \frac{13}{4}$ The equivalent interval notation is $(-\frac{13}{4}, \frac{3}{4}]$.
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