Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S and T from A to B as follows: For any (x, y) ∈ A × B, (x, y) ∈ R means that x ≥ y (x, y) ∈ R means that x−y/2 is an integer T = {(4,7), (6,5), (6,7)} a. Draw an arrow diagrams for R, S and T. b. Indicate whether any of the relations R, S and T are functions.

Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S and T from A to B as follows: For any (x, y) ∈ A × B, (x, y) ∈ R means that x ≥ y (x, y) ∈ R means that x−y/2 is an integer T = {(4,7), (6,5), (6,7)} a. Draw an 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 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...

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