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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an anti-symmetric relation and provide one example.
💡 Hint: Consider how elements relate to themselves.
Question 2
Easy
Are all diagonal pairs included in an anti-symmetric relation?
💡 Hint: Think about the relationship a has with itself.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
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
💡 Hint: Think about the consequence of pairs being included.
Question 2
Is the relation (3, 2) and (2, 3) anti-symmetric?
- True
- False
💡 Hint: Examine how values compare.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set S of 5 distinct elements, find and justify the number of anti-symmetric relations possible.
💡 Hint: Remember to take each element and its pairing into account.
Question 2
Construct an anti-symmetric relation on a set with 3 elements that includes at least 2 pairs.
💡 Hint: Explore using pairings to design your valid relations.
Challenge and get performance evaluation