6) Let A = {4,5,6} and B = {3,6,7}. Define relations U, V, and W from A to B as follows,For all (x, y) E A×B,(x, y) eU x>y(x, y) e V >X-yis an integer.W = {(4,7), (6,3), (5,6)}Indicate whether any of the relations U, V, and W are functions from A to B.

Answered: Image /qna-images/answer/fc01f781-ea5a-4fa8-80ab-86e6ed8a4c9f.jpg

6) Let A = {4,5,6} and B {3,6,7}. Define relations U, V, and W from A to B as follows, For all (x, y) € A× B, (x, y) eU x> y x- y (x, y) e V , is an integer. W = {(4,7), (6,3), (5,6)} Indicate whether any of the relations U, V, and W are functions from A to B.

6) Let A = {4,5,6} and B {3,6,7}. Define relations U, V, and W from A to B as follows, For all (x, y) € A× B, (x, y) eU x> y x- y (x, y) e V , is an integer. W = {(4,7), (6,3), (5,6)} Indicate whether any of the relations U, V, and W are functions from A to B.

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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Question

6) Let A = {4,5,6} and B = {3,6,7}. Define relations U, V, and W from A to B as follows,
For all (x, y) E A×B,
(x, y) eU x>y
(x, y) e V >
X-y
is an integer.
W = {(4,7), (6,3), (5,6)}
Indicate whether any of the relations U, V, and W are functions from A to B.

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