Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Appendices - Section A.1 - Real Numbers and the Real Line - Exercises A.1 - Page AP-6: 11


$-2\leq t\leq 4,\qquad$ or, $ t\in [-2,4]$

Work Step by Step

Use properties from the table 'Absolute Values and Intervals". Applying Property 6: $|x|\leq a\quad\Leftrightarrow\quad -a\leq x\leq a, \quad $ for a = positive number We have: $-3\leq t-1\leq 3\qquad $ add 1 to all parts: $-2\leq t\leq 4$ This is a closed interval, $[-2,4]$ (see table: "Types of intervals".)
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