College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.1 - Sets - R.1 Exercises - Page 7: 57

Answer

$\subseteq$

Work Step by Step

$\displaystyle \mathrm{Suppose\ we\ define} \ A\ =\ \ \{1,4,6,8\}$ $\text{To determine which symbol goes in the blank, recall one of the properties of the empty set:}$ $\displaystyle \mathrm{``For\ any\ set\ } A\mathrm{,\ the\ empty\ set\ is\ a\ subset\ of} \ A"$ $\displaystyle \mathrm{This\ can\ be\ written\ symoblically\ as} \ $: $\displaystyle \emptyset \ \subseteq A$ $\displaystyle \mathrm{Since\ we\ defined} \ A\ \mathrm{to\ represent} \ \{1,4,6,8\} ,\ \mathrm{we\ can\ conclude\ that\ }$ $\displaystyle \emptyset \ \subseteq \{1,4,6,8\}$
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