Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises - Page 169: 80

Answer

$|x_1-123|\le 25$ $|x_2-21|\le 5$

Work Step by Step

Step 1. Given $98ft/sec\le x_1 \le 148ft/sec$, find the mean value as $\frac{98+148}{2}=123$ Step 2. Half of the range is $\frac{148-98}{2}=25$, thus we can write $|x_1-123|\le 25$ Step 3. Given $16ft/sec\le x_2 \le 26ft/sec$, find the mean value as $\frac{16+26}{2}=21$ Step 4. Half of the range is $\frac{26-16}{2}=5$, thus we can write $|x_2-21|\le 5$
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