Practice Example Of An Equivalence Relation (21.2)

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6 sample questions

Question 1.
What does it mean for a relation to be reflexive?
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Think of a = a.
Question 2.
Provide an example of a symmetric relation.
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Consider how relationships often work.
3Question 3.
Which of the following properties is NOT required for a relation to be an equivalence relation?
- Reflexivity
- Symmetry
- Irreflexivity
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What does reflexivity indicate?
4Question 4.
True or false: If a is related to b and b is related to c, then a is definitely related to c.
- True
- False
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What property does this describe?
Question 5.
Formulate a real-world scenario that can be modeled as an equivalence relation and justify why it's an equivalence relation.
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Consider how grading could show equivalence among students.
Question 6.
Explore if the relation 'is a sibling of' on a set of individuals forms an equivalence relation. Discuss the properties.
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Use logical family connections.

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