6. Give an example of a relation R on A = {-1, –3, –5} such that: (a) R is both symmetric and antisymmetric. (b) R is neither symmetric nor anrisymmetric. (c) R is transitive, but RU R-1 is not transitive.
6. Give an example of a relation R on A = {-1, –3, –5} such that: (a) R is both symmetric and antisymmetric. (b) R is neither symmetric nor anrisymmetric. (c) R is transitive, but RU R-1 is not transitive.
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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Transcribed Image Text:6. Give an example of a relation R on A = {-1, –3, –5} such that:
(a) R is both symmetric and antisymmetric.
(b) R is neither symmetric nor anrisymmetric.
(c) R is transitive, but RU R-1 is not transitive.
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