Practice Transitive Relations (17.5) - Irreflexive Relation - Discrete Mathematics

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6 sample questions

Question 1.
Define a transitive relation in your own words.
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Think about how relationships connect.
Question 2.
Give an example of a transitive relation.
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Consider family relations.
3Question 3.
What characterizes a transitive relation?
- If aRb and bRc then aRc
- If aRb then bRc
- a is equal to b
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Remember the relationship structure!
4Question 4.
True or False: All transitive relations are symmetric.
- True
- False
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Consider the definitions of both properties.
Question 5.
Consider a relation defined over a set A = {1, 2, 3}. Given pairs are {(1, 2), (2, 3), (1, 3)}. Is this relation transitive? Justify your answer.
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Check all the necessary conditions for transitivity.
Question 6.
Construct a non-transitive relation over the set {1, 2, 3} and prove it is not transitive.
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Focus on withdraw pair conditions.

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