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Let A = {2, 4} and B = {1, 3, 5} and define rela- tions U, V, and W from A to B as follows: For every (x, y) E A × B: (x, y) E U means that y - x> 2. (x, y) E V means that y-1 = 5 W = {(2, 5), (4, 1), (2, 3)}. a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and W are functions.

Let A = {2, 4} and B = {1, 3, 5} and define rela- tions U, V, and W from A to B as follows: For every (x, y) E A × B: (x, y) E U means that y - x> 2. (x, y) E V means that y-1 = 5 W = {(2, 5), (4, 1), (2, 3)}. a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and W are functions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A = {2, 4} and B = {1, 3, 5} and define rela- tions U, V, and W from A to B as follows: For every (x, y) E A × B: (x, y) E U means that y - x> 2. (x, y) E V means that y-1 = 5 W = {(2, 5), (4, 1), (2, 3)}. a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and W are functions.
Transcribed Image Text:Let A = {2, 4} and B = {1, 3, 5} and define rela- tions U, V, and W from A to B as follows: For every (x, y) E A × B: (x, y) E U means that y - x> 2. (x, y) E V means that y-1 = 5 W = {(2, 5), (4, 1), (2, 3)}. a. Draw arrow diagrams for U, V, and W. b. Indicate whether any of the relations U, V, and W are functions.
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