Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - Chapter 2 Test: 9

Answer

false

Work Step by Step

RECALL: Set $A$ is a proper subset of set $B$ if all elements of $A$ are also elements of $B$ but $A\ne B$. In other words, all elements of A are also elements of B, but $B$ has at least one element that is not in A. The empty set is a proper subset of any non-empty set is the non-empty set has at least one element that is not in the empty set. However, the empty set is not a proper set of itself. Thus, the statement is false.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.