8. 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) €Аx В, (x, y) e U means that y – x > 2. (x, y) e V means that y –1 =7. 2 W = {(2, 5), (4, 1), (2, 3)}. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a. Draw arrow diagrams for U, V, and W.
b. Indicate whether any of the relations U, V, and W are
functions

8. 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)
E A x B,
%3|
(x, y) E U means that y – x > 2.
(x, y) e V means that
у — 1 %—D
2
y –
W
= {(2, 5), (4, 1), (2, 3)}.
Transcribed Image Text:8. 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) E A x B, %3| (x, y) E U means that y – x > 2. (x, y) e V means that у — 1 %—D 2 y – W = {(2, 5), (4, 1), (2, 3)}.
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