Practice Types Of Relations (1.2) - Relations and Functions

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6 sample questions

Question 1.
Define a reflexive relation and give an example.
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Think of a set like {1,2} and how any element relates back to itself.
Question 2.
What characterizes a symmetric relation?
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Consider pairs that involve two different elements.
3Question 3.
What makes a relation reflexive?
- All related pairs have unique elements.
- Every element relates to itself.
- Pairs have an inverse relation.
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Think about how relationships establish ties.
4Question 4.
True or False: A relation can be both symmetric and anti-symmetric.
- True
- False
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Think about the nature of oppositely paired relationships.
Question 5.
Given the relation R = {(1, 2), (2, 3), (3, 1)}, classify it and explain.
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Evaluate its structure against each type of relation.
Question 6.
Design a set containing at least five elements where the relation is an equivalence relation. Name the elements.
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Make sure to include connections that accommodate all three main properties.

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