Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.2 - Cardinality - Exercises - Page 417: 68

Answer

for $A\subseteq B$

Work Step by Step

"The intersection of A with B has as many elements as A" This is possible only if A is contained in B, or equal to B. if $A\subseteq B$ Proof: If there were an element in A, which is not in the intersection, then the cardinality of A would be greater than the cardinality of the intersection. Since this is not so, the x doesn't exist. The intersection is the set A. Since the intersection is a subset of B, so is A.
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