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?

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Chapter2: Second-order Linear Odes
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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. 

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?
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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