Practice Transitive Relation (1.2.3) - Relations and Functions

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6 sample questions

Question 1.
Define transitive relation in your own words.
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Think about how relationships can continue in a chain.
Question 2.
Given R = {(a, b), (b, c), (c, d)}, is R transitive?
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Look for logical connections between elements.
3Question 3.
What is a transitive relation?
- A relation that is never reflexive
- A relation where if (A, B) and (B, C) implies (A, C)
- A relation that is symmetric
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Focus on the property that connects pairs together.
4Question 4.
True or False: All transitive relations are symmetric.
- True
- False
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Consider what symmetry means in a relation.
Question 5.
Consider the relation R = {(1, 2), (2, 3), (3, 4), (1, 4)}. Is this relation transitive? Provide evidence.
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Check each pair against others to confirm.
Question 6.
Create your own relation that is not transitive and explain why it fails the transitive property.
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Think about what key pair is missing.

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