Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - Chapter 2 Test: 1

Answer

$\left\{18, 19, 20, 21, 22, 23, 24\right\}$

Work Step by Step

$N$ is the set of natural numbers, which are the numbers $1, 2, 3, ...$. Since $x$ is an element of the $N$ and 17 is less than $x$ but $x$ is less than or equal to $2$, then the possible values of $x$ are $18, 19, 20, 21, 22, 23,$ and $24$. Thus, the roster method equivalent of the given set is: $\left\{18, 19, 20, 21, 22, 23, 24\right\}$
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