Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.2 Real Numbers and Their Properties - R.2 Exercises: 81

Answer

The statement is false. The correct statement will be: $|a-b| = |a| - |b|, \text{ if }a \gt b \gt 0$

Work Step by Step

The statement is false. Since $b\gt a$, then $|a| - |b|$ will be negative, which makes $|a-b| \gt |a|-|b|$ The correct statement will be: $|a-b| = |a| - |b|, \text{ if }a \gt b \gt 0$
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