S = {a, b, c, d, e} Ris a relation on S. The digraph representation of R is given below: 1. Is R reflexive? If not, use an specific tuple to explain why. 2. Is R symmetric? If not, use a specific pair of tuples to explain why. 3. Is R antisymmetric? If not, use a specific pair of tuples to explain why. 4. Is R transitive? If not, use 3 specific tuples to explain why.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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S = {a, b, c, d, e}
R is a relation on S. The digraph representation of R is given below:
%3D
1. Is R reflexive? If not, use an specific tuple to explain why.
2. Is R symmetric? If not, use a specific pair of tuples to explain why.
3. Is R antisymmetric? If not, use a specific pair of tuples to explain why.
4. Is R transitive? If not, use 3 specific tuples to explain why.
Transcribed Image Text:S = {a, b, c, d, e} R is a relation on S. The digraph representation of R is given below: %3D 1. Is R reflexive? If not, use an specific tuple to explain why. 2. Is R symmetric? If not, use a specific pair of tuples to explain why. 3. Is R antisymmetric? If not, use a specific pair of tuples to explain why. 4. Is R transitive? If not, use 3 specific tuples to explain why.
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