i need this question competed in 5 minutes with handwritten working out Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is inR 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.

According to the guidelines,we can solve only first three subparts.

Answered: Let A be the set {1,2,3,4,5,6}. Let R…

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. If R symmetric? Explain your answer.