Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 139: 107

Answer

a. after year 2016. b. after year 2020. c. after year 2020. d. after year 2016.

Work Step by Step

a. Given $I=\frac{x}{4}+26$, let $I\gt33$; we have $\frac{x}{4}+26\gt33$, $\frac{x}{4}\gt7$ and $x\gt28$, which corresponds to year $1988+28=2016$; that is, after year 2016. b. Given $N=\frac{x}{4}+6$, let $N\gt14$; we have $\frac{x}{4}+6\gt14$, $\frac{x}{4}\gt8$ and $x\gt32$, which corresponds to year $1988+32=2020$; that is, after year 2020. c. Find the intersection of the results from parts (a) and (b); we have $x\gt32$, or after year 2020. d. Find the union of the results from parts (a) and (b); we have $x\gt28$, or after year 2016.
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