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 6: 28

Answer

$\emptyset\notin\emptyset$

Work Step by Step

$\emptyset$ is the empty set with no elements in it. Although $\emptyset$ and $\emptyset$ are both identical and are subsets of each other ($\emptyset\subset\emptyset$), they cannot be elements of one another because they have no elements. Therefore, $\emptyset$ is not an element of the empty set, written as $\emptyset\notin\emptyset$.
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