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 - Page R-21: 14


$x<0\ \ $ or $\ \ x\geq 3$

Work Step by Step

There are two intervals here On the left is an interval containing all numbers less than 0 (but not equal to 0, as the empty circle excludes the endpoint 0). On the right, we have all numbers greater or equal to 3 (note the solid circle indicating inclusion of the endpoint 3 ) 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 $x<0$ or $x\geq 3$.
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