Discrete Mathematics and Its Applications, Seventh Edition

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

Chapter 9 - Section 9.1 - Relations and Their Properties - Exercises - Page 581: 1

Answer

Listing the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a, b) ∈ R

Work Step by Step

a) {(0, 0), (1, 1), (2, 2), (3, 3)} b) {(1, 3), (2, 2), (3, 1), (4, 0)} c) {(1, 0), (2, 0), (2, 1), (3, 0), (3, 1), (3, 2), (4, 0), (4, 1), (4, 2), (4, 3)} d) {(1, 0), (1, 1), (1, 2), (1, 3), (2, 0), (2, 2), (3, 0), (3, 3), (4, 0)} e) {(0, 1), (1, 0), (1, 1), (1, 2), (1, 3), (2, 1), (2, 3), (3, 1), (3, 2), (4, 1), (4, 3)} f) {(1, 2), (2, 1), (2, 2)}
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