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.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 14E: In each of the following parts, a relation is defined on the set of all human beings. Determine...
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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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