Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2: 111

Answer

The statement doesn't make sense.

Work Step by Step

The empty set doesn't have a proper subset; therefore, not all sets have a proper subset. Thus, the original statement doesn't make sense. However, every set except the empty set has a proper subset (the empty set).
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