Practice Part B: Anti-symmetric Relations (21.4.2) - Lecture -20 - Discrete Mathematics

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6 sample questions

Question 1.
Define an anti-symmetric relation and provide one example.
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Consider how elements relate to themselves.
Question 2.
Are all diagonal pairs included in an anti-symmetric relation?
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Think about the relationship a has with itself.
3Question 3.
What characterizes an anti-symmetric relation?
- If (a
- b) then (b
- a) must be present
- If (a
- b) and (b
- a)
- then a = b
- None of the above
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Think about the consequence of pairs being included.
4Question 4.
Is the relation (3, 2) and (2, 3) anti-symmetric?
- True
- False
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Examine how values compare.
Question 5.
Given a set S of 5 distinct elements, find and justify the number of anti-symmetric relations possible.
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Remember to take each element and its pairing into account.
Question 6.
Construct an anti-symmetric relation on a set with 3 elements that includes at least 2 pairs.
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Explore using pairings to design your valid relations.

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