Practice Examples Of Irreflexive Relations (17.1.2)

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6 sample questions

Question 1.
Is the relation R = {(1, 2), (2, 1)} irreflexive for set A = {1, 2}?
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Check if any pairs (a, a) exist.
Question 2.
What entry in the matrix representation of an irreflexive relation would you expect for (1, 1)?
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Remember, we are looking for self-relating pairs.
3Question 3.
What defines an irreflexive relation?
- (a
- a) is present
- (a
- a) is absent
- May or may not have (a
- a)
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Think about the definition of irreflexive.
4Question 4.
True or False: The empty relation is both reflexive and irreflexive.
- True
- False
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Consider the definition of these terms in a void scenario.
Question 5.
If A = {x, y, z} and R = {(x, y), (y, z), (x, z)}, classify R as reflexive or irreflexive. Justify your answer.
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Check each element in A.
Question 6.
Provide an example of a relation R from a set A = {1, 2, 3} that is irreflexive and also explain the matrix representation.
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Ensure no self-relating pairs are included.

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