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 8.1: 10

Answer

R ={ (3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} R^(-1) ={ (4,3),(5,3),(6,3),(5,4),(6,4),(6,5)}

Work Step by Step

- As A ={ 3,4,5} and B ={ 4,5,6} -R be the “lessthan” relation. -That is, for all (x, y) ∈ A× B, xRy ⇔ x < y -State explicitly which ordered pairs are in R and R^-1 -By Multiplying each element with the each element of other group so we will get following realtional form as R ={ (3,4),(3,5),(3,6),(4,5),(4,6),(5,6)} R^(-1) ={ (4,3),(5,3),(6,3),(5,4),(6,4),(6,5)}
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