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: 51

Answer

False

Work Step by Step

We are given the statement $-|-4|\lt-|-7|$. We know that $|-4|=4$, because -4 is 4 spaces from 0 on the number line. Therefore, $-|-4|=-(4)=-4$. We know that $|-7|=7$, because -7 is 7 spaces from 0 on the number line. Therefore, $-|-7|=-(7)=-7$. Therefore, we can rewrite the statement as $-4\lt-7$. This statement is false, because -4 is to the right of -7 on the number line. So, -4 is greater than -7 in value.
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