Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Appendix A - Equations and Inequalities - Page 421: 74



Work Step by Step

Step 1: $-3x-8\leq7$ Step 2: Adding $8$ to both sides, $-3x-8+8\leq7+8$ Step 3: $-3x\leq15$ Step 4: Dividing both sides by -3 (this reverses the direction of the inequality symbol): $\frac{-3x}{-3} \geq \frac{15}{-3}$ Step 5: $x\geq-5$ According to the inequality, the interval includes $-5$ and all values greater than $-5$. Since $-5$ is part of the interval, a square bracket is used on its side. On the other hand, we represent all values greater than $-5$ by the symbol $\infty$. Therefore, a parenthesis is used on its side. Therefore, the interval notation for this inequality is written as $[-5,\infty)$.
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