Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all (x, y) ϵ A x B, (x, y) ϵ U means that y – x ≥ 1 (x, y) ϵ V means that y = x – 1 W = {(2, 5), (4, 1), (2, 3)} Draw arrow diagrams for U, V, and W. Indicate whether any of the relations U, V, and W are functions

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all (x, y) ϵ A x B, (x, y) ϵ U means that y – x ≥ 1 (x, y) ϵ V means that y = x – 1 W = {(2, 5), (4, 1), (2, 3)} Draw arrow diagrams for U, V, and W. Indicate whether any of the relations U, V, and W are functions

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 17CM

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Question

Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all (x, y) ϵ A x B,
(x, y) ϵ U means that y – x ≥ 1
(x, y) ϵ V means that y = x – 1
W = {(2, 5), (4, 1), (2, 3)}
Draw arrow diagrams for U, V, and W.
Indicate whether any of the relations U, V, and W are functions

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