Discrete Mathematics with Applications 4th Edition

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

Chapter 1 - Speaking Mathematically - Exercise Set 1.3 - Page 21: 7

Answer

b) None of R,S,T are functions

Work Step by Step

b) For any y ϵ B, there is no (4,y) ϵ R. Hence R is not a function. (5,5) ϵ S and (5,7) ϵ S , but 5$\ne$7. Hence S is also not a function. For any y ϵ B, there is no (5,y) ϵ T, also (6,5) ϵ T and (6,6) ϵ T but 5 $\ne$6. Hence T is also not a function
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