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Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a - b is one of 0, 2, -2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. If R symmetric? Explain your answer.

Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a - b is one of 0, 2, -2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. If R symmetric? Explain your answer.

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 be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a – b is one of 0, 2, —2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. (c) If K symmetric? Explain your answer. (e) (d) Is R anti-symmetric? Explain your answer. Is R transitive? Explain your answer.
Transcribed Image Text:Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and only if a – b is one of 0, 2, —2, or 3. (a) (b) Draw the arrow diagram of R. Is R reflexive? Explain your answer. (c) If K symmetric? Explain your answer. (e) (d) Is R anti-symmetric? Explain your answer. Is R transitive? Explain your answer.
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