Define the following relations on A = {2, 4, 5, 6}. Answer each of the following questions by listing the index of the relation. For example, for Part 1), if R₁ and R₂ are reflexive, simply enter 1, 2 as the answer. Ro = {(6, 6), (2, 2), (5, 5), (4,4)} R₁ = {(5,2), (6, 6), (5, 5), (4, 4), (2, 2), (2,5)} R₂ = {(2, 4), (4, 2), (5, 6), (5, 4), (6, 5), (6, 6), (4, 5)} R3 = {(4, 4), (4, 5), (2, 2), (6, 6), (4, 2), (5, 6)} R4 = {(6, 6), (6, 4), (2, 4), (2, 5), (6,5), (6, 2)} 1) Which relations are reflexive? 2) Which relations are symmetric? 2) Which relations are an summotric?
Define the following relations on A = {2, 4, 5, 6}. Answer each of the following questions by listing the index of the relation. For example, for Part 1), if R₁ and R₂ are reflexive, simply enter 1, 2 as the answer. Ro = {(6, 6), (2, 2), (5, 5), (4,4)} R₁ = {(5,2), (6, 6), (5, 5), (4, 4), (2, 2), (2,5)} R₂ = {(2, 4), (4, 2), (5, 6), (5, 4), (6, 5), (6, 6), (4, 5)} R3 = {(4, 4), (4, 5), (2, 2), (6, 6), (4, 2), (5, 6)} R4 = {(6, 6), (6, 4), (2, 4), (2, 5), (6,5), (6, 2)} 1) Which relations are reflexive? 2) Which relations are symmetric? 2) Which relations are an summotric?
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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Define the following relations on A = {2,4,5,6}. Answer each of the following questions by listing the index of the relation. For example, if R1 and R2 are reflexive, simply enter 1,2 as the answer.
Transcribed Image Text:Define the following relations on A = {2, 4, 5, 6}. Answer each of the following questions by listing the
index of the relation. For example, for Part 1), if R₁ and R₂ are reflexive, simply enter 1, 2 as the answer.
Ro = {(6, 6), (2, 2), (5, 5), (4,4)}
R₁ = {(5,2), (6, 6), (5, 5), (4,4), (2, 2), (2,5)}
R₂ = {(2, 4), (4, 2), (5, 6), (5, 4), (6, 5), (6, 6), (4, 5)}
R3 = {(4,4), (4, 5), (2, 2), (6, 6), (4,2), (5, 6)}
R4 = {(6, 6), (6,4), (2, 4), (2, 5), (6,5), (6, 2)}
1) Which relations are reflexive?
2) Which relations are symmetric?
3) Which relations are anti-symmetric?
4) Which relations are transitive?
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