Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.2 - Set Operations - Exercises - Page 136: 4

Answer

a) $A\cup B=\{a,b,c,d,e,f,g,h\}$ b) $A \cap B=\{a,b,c,d,e\}$ c) $A-B=\emptyset$ d) $B-A=\{f,g,h\}$

Work Step by Step

a) $A \cup B$ is the set of all elements that are in $A$, or in $B$, or in both $A$ and $B$. So $A\cup B=\{a,b,c,d,e,f,g,h\}$. b) $A \cap B$ is the set of elements that are in both $A$ and $B$. So $A \cap B=\{a,b,c,d,e\}$ c) $A-B$ is the set of elements that are in $A$ but not in $B$. Since every element of $A$ is an element of $B$, there are no elements in $A$ that are not in $B$. So $A-B=\emptyset$. d) $B-A$ is the set of all elements that are in $B$ but not in $A$. So $B-A=\{f,g,h\}$.
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