Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.5 Inequalities - R.5 Exercises: 13

Answer

$x\leq-4\ \ $ or $\ \ x\geq 4$

Work Step by Step

There are two intervals here On the left is an interval containing all numbers less or equal to $-4$ (note the solid circle indicating inclusion of the endpoint $-4$). On the right, we have all numbers greater or equal to 4 (note the solid circle indicating inclusion of the endpoint 4 ) A number x from this set can belong to either of the above intervals, so the set shown in the graph can be written using inequalities as $x\leq-4$ or $x\geq 4$.
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