5. Let A = {4,5,6} and B = {1,3,5} and define relations R, S, and T from A to B as follows: For all (x, y) € Ах В, (х, у) € R %3D means x > y (х, у) € S x-y means is an integer T = {(4.7), (6,5), (6,7)} Draw arrow diagrams for R, S and T. b. Indicate whether any of the relations R, S, and T are functions

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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5. Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows:
For all (x, y) € Ax В,
(х, у) € R
means x > y
x-y
(x, y) E S
is an integer
2
means
Т %3D (4.7), (6,5), (6,7)}
a. Draw arrow diagrams for R, S and T.
T
b. Indicate whether any of the relations R, S, and T are functions
Transcribed Image Text:5. Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows: For all (x, y) € Ax В, (х, у) € R means x > y x-y (x, y) E S is an integer 2 means Т %3D (4.7), (6,5), (6,7)} a. Draw arrow diagrams for R, S and T. T b. Indicate whether any of the relations R, S, and T are functions
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