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: 106

Answer

This statement makes sense.

Work Step by Step

The number of distinct subsets for a set with $n$ elements is $2^n$. When we increase the number of elements by 1, the new number of distinct subsets is $2^{n+1}=2^n*2$ The new set indeed has twice as many subsets. This statement makes sense.
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