Trigonometry (10th Edition)

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

Appendix A - Equations and Inequalities - Page 418: 89


$x$ $\leq$ $\frac{48}{7}$ The equivalent interval notation is $(-\infty, \frac{48}{7}]$.

Work Step by Step

$\frac{1}{3}x + \frac{2}{5}x - \frac{1}{2}(x + 3)$ $\leq$ $\frac{1}{10}$ $\frac{1}{3}x + \frac{2}{5}x - \frac{1}{2}x - \frac{3}{2}$ $\leq$ $\frac{1}{10}$ $\frac{10 + 12 - 15}{30}x$ $\leq$ $\frac{1}{10} + \frac{3}{2}$ $\frac{7}{30}x$ $\leq$ $\frac{1 + 15}{10}$ $x$ $\leq$ $\frac{16 * 30}{10 * 7}$ $x$ $\leq$ $\frac{48}{7}$ The equivalent interval notation is $(-\infty, \frac{48}{7}]$.
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