Practice Reflexive Relations (16.3.1) - Relations - Discrete Mathematics

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6 sample questions

Question 1.
Is a relation with the pairs {(1,1), (2,2)} reflexive?
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Check if both elements relate to themselves.
Question 2.
Can the empty relation be reflexive?
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Consider what it means to have no elements.
3Question 3.
What defines a reflexive relation?
- Every element relates to a different one.
- Every element relates to itself.
- Some elements relate to themselves.
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Think about the meaning of 'reflexive'.
4Question 4.
If a relation R is reflexive, which of the following is true?
- True
- False
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Remember how to represent relations with matrices.
Question 5.
Given a set A = {1, 2, 3}, create a non-empty reflexive relation. What pairs must it contain?
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Focus on the requirement of self-pairings.
Question 6.
Formulate a scenario where an empty relation can be considered reflexive. Describe the implications.
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Think about the conditions that make a relation valid.

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