Practice - Part B: Anti-Symmetric Relations
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Practice Questions
Test your understanding with targeted questions
Define an anti-symmetric relation and provide one example.
💡 Hint: Consider how elements relate to themselves.
Are all diagonal pairs included in an anti-symmetric relation?
💡 Hint: Think about the relationship a has with itself.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What characterizes an anti-symmetric relation?
💡 Hint: Think about the consequence of pairs being included.
Is the relation (3, 2) and (2, 3) anti-symmetric?
💡 Hint: Examine how values compare.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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