Practice Part E: Reflexive And Symmetric Relations (21.4.5)

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6 sample questions

Question 1.
Define a reflexive relation.
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Think about pairs like (a, a).
Question 2.
Give an example of a symmetric relation.
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Consider relationships that involve mutuality.
3Question 3.
What defines a reflexive relation?
- All elements relate to each other.
- Each element relates to itself.
- Only some elements relate.
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Look for (a, a) pairs in the definition.
4Question 4.
Is the relation 'is taller than' symmetric?
- True
- False
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Consider examples of height comparisons.
Question 5.
Given a relation on set A = {x, y, z}, determine if the relation is reflexive, symmetric, or both.
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Write down the elements and examine all conditions.
Question 6.
Create a relation that is both reflexive and symmetric from a four-element set.
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Start with the basics of reflexivity.

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