Let A = {3,4,5,6,7,8} and define a relation R on A as follows: For every x, y E A, x R y + 2|(x – y). 1. Write the ordered pairs such that this relation works. 2. Let the set A be the vertex set. Set 5 points corresponding to the elements of A and label them as they are in the set A. Let say, 3, 4, 5, 6, 7 and 8. 3. If you know that 3 R 3 → 2|(3 – 3) = 0, and 3 R 5 + 2|(3 – 5), then in your graph there is a loop at 3 and there is a "directed" arrow starting at 3 ends at 5. 4. Complete the directed graph.

Let A = {3,4,5,6,7,8} and define a relation R on A as follows: For every x, y E A, x R y + 2|(x – y). 1. Write the ordered pairs such that this relation works. 2. Let the set A be the vertex set. Set 5 points corresponding to the elements of A and label them as they are in the set A. Let say, 3, 4, 5, 6, 7 and 8. 3. If you know that 3 R 3 → 2|(3 – 3) = 0, and 3 R 5 + 2|(3 – 5), then in your graph there is a loop at 3 and there is a "directed" arrow starting at 3 ends at 5. 4. Complete the directed graph.

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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Question

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Let A = {3,4,5,6,7,8} and define a relation R on A as follows: For every x, y € A,
xR y + 2| (x – y).
1. Write the ordered pairs such that this relation works.
2. Let the set A be the vertex set. Set 5 points corresponding to the elements of A and label them
as they are in the set A. Let say, 3, 4, 5, 6, 7 and 8.
3. If you know that 3 R 3 = 2|(3 – 3) = 0, and 3 R 5 → 2|(3 – 5), then in your graph there is a
loop at 3 and there is a "directed" arrow starting at 3 ends at 5.
4. Complete the directed graph.

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