Precalculus (6th Edition)

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

Chapter R - Review of Basic Concepts - R.1 Sets - R.1 Exercises - Page 7: 49

Answer

true

Work Step by Step

Natural numbers are the counting numbers $1, 2, 3, ...$. Thus, the natural numbers less than 3 are and 2. This means that the set on the left side is $\left\{1, 2\right\}$. Two sets are equal if they have exactly the same elements. Note that $\left\{1, 2\right\} = \left\{1, 2\right\}$. The two sets have exactly the same elements therefore they are equal sets. Thus, the given statement is true.
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