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: 50



Work Step by Step

Natural numbers are the counting numbers $1, 2, 3, ..., 10, 11, 12, 13, ...$. Thus, the natural numbers greater than 10 are $11, 12, 13, ...$. This means that the set on the left side is $\left\{11, 12, 13, ...\right\}$. Two sets are equal if they have exactly the same elements. Note that $\left\{11, 12, 13, ...\right\} = \left\{11, 12, 13, ...\right\}$. The two sets have exactly the same elements therefore they are equal sets. Thus, the given statement is true.
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