Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S = Symmetric, T = Transitive) (a) R and S but not T. (b) R and T but not S. (c) S and T but not R. (d) R but neither S not T. (e) S but neither R not T. (f) T but neither R not S.

Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S = Symmetric, T = Transitive) (a) R and S but not T. (b) R and T but not S. (c) S and T but not R. (d) R but neither S not T. (e) S but neither R not T. (f) T but neither R not S.

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

Let A = {1, 2, 3, 4}. Give an example of a relation on A that is (R = Reflexive, S =
Symmetric, T = Transitive)
(a) R and S but not T. (b) R and T but not S.
(c) S and T but not R. (d) R but neither S not T.
(e) S but neither R not T. (f) T but neither R not S.

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