Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - 2.5 Survey Problems - Exercise Set 2.5 - Page 106: 56

Answer

true

Work Step by Step

Having $A\cap B=\emptyset$ means that A and B have no common elements (they are disjoint). Thus, the cardinality of $A \cup B$ will be equal to the sum of the cardinalities of $A$ and $B$. Therefore, the given statement is true.
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