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: 1

Answer

See the solution.

Work Step by Step

a) $A \cap B$ is the set of elements that are in both $A$ and $B$. So $A \cap B$ is the set of students living one mile within a school and walking to classes. b) $A \cup B$ is the set of all elements that are in $A$, or in $B$, or in both $A$ and $B$. So $A\cup B$ is the set of students living one mile within a school and/or walking to their classes. c) $A-B$ is the set of elements that are in $A$ but not in $B$. So $A-B$ is the set of students who live one mile within a school but do not walk to classes. d)$B-A$ is the set of all elements that are in $B$ but not in $A$. So $B-A$ is the set of students who walk to classes but do not live within one mile of a school.
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