Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 8 - Relations - Exercise Set 8.3 - Page 475: 2

Answer

a. {0, 2}, {1}, {3, 4} R = {(0,0),(0,2),(2,0),(2,2),(1,1),(3,4),(4,3),(3,3),(4,4)} b. {0}, {1, 3, 4}, {2} R = {(0,0),(2,2),(1,3),(1,4),(4,1),(3,1),(3,4),(4,3),(3,3),(4,4)} c. {0}, {1, 2, 3, 4} R = {(0,0),(1,1),(2,2),(3,3),(4,4),(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)}

Work Step by Step

a. {0, 2}, {1}, {3, 4} R = {(0,0),(0,2),(2,0),(2,2),(1,1),(3,4),(4,3),(3,3),(4,4)} b. {0}, {1, 3, 4}, {2} R = {(0,0),(2,2),(1,3),(1,4),(4,1),(3,1),(3,4),(4,3),(3,3),(4,4)} c. {0}, {1, 2, 3, 4} R = {(0,0),(1,1),(2,2),(3,3),(4,4),(1,2),(1,3),(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)}
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