Thinking Mathematically (6th Edition)

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

Chapter 2 - Set Theory - Chapter 2 Test - Page 111: 18


$\left\{a, f, h\right\}$

Work Step by Step

RECALL: (i) $\cap$ represents the intersection of sets. The intersection of two or more sets is the set that contains all the elements that are common to all the sets involved. (ii) $\cup$ represents the union of sets. The union of two or more sets us the set that contains the combined elements of the sets involved. Thus, $A\cap B = \left\{a, f\right\} A \cap C = \left\{a, h\right\}$ Therefore, $(A \cap B) \cup (A \cap C) \\= \left\{a, f,\right\} \cup \left\{a, h\right\} \\=\left\{a, f, h\right\}$
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