Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 9 - Basic Algebra - 9.1 Signed Numbers - 9.1 Exercises: 48

Answer

False

Work Step by Step

We know that $|-12|=12$, because -12 is 12 spaces away from 0 on the number line. We know that $|-15|=15$, because -15 is 15 spaces away from 0 on the number line. So, $|-12|\gt|-15|$ is equivalent to $12\gt15$. This is false, because 12 is to the left of 15 on the number line. Therefore, the statement $|-12|\gt|-15|$ is false.
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