Practice Asymmetric Relations (17.3) - Irreflexive Relation - Discrete Mathematics

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6 sample questions

Question 1.
Define an asymmetric relation in your own words.
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Think about it like a one-way street.
Question 2.
Draw a matrix representation for the relation R = {(1, 2)} where A = {1, 2}.
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Remember the diagonal will always be 0 for asymmetric.
3Question 3.
If (a, b) is in an asymmetric relation, can (b, a) also be in it?
- True
- False
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Recall what asymmetric means.
4Question 4.
Which of the following is NOT an example of an asymmetric relation?
- Parent-Child
- Friends
- Manager-Employee
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Think about the directions in each relationship.
Question 5.
Given relation R = {(1, 3), (2, 1), (3, 2)}, discuss whether R is asymmetric, providing justification.
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Examine all possible pairs within the relation.
Question 6.
Construct a larger asymmetric relation from set A = {1, 2, 3, 4} with five different ordered pairs and verify if it holds the properties of asymmetry.
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Check each combination to ensure none violate the asymmetric rules.

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