Trigonometry (10th Edition)

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

Appendix A - Equations and Inequalities: 87

Answer

This inequality holds for other intervals of $x$ with interval notation $[\frac{-11}{5}, \infty).$

Work Step by Step

$\frac{4x + 7}{-3} \leq (2x + 5)$ $(4x + 7) \geq -3(2x + 5)$ Multiplication of negative number $4x + 7 \geq -6x - 15$ $4x + 7 + 6x + 15 \geq 0$ $10x + 22 \geq 0$ $10x \geq -22$ $x \geq \frac{-22}{10}$ $x \geq \frac{-11}{5}$ This inequality holds for other intervals of $x$ with interval notation $[\frac{-11}{5}, \infty).$
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