Practice - Examples of Antisymmetric Relations
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Practice Questions
Test your understanding with targeted questions
Define an antisymmetric relation.
💡 Hint: Think about the implication of pairs in a relation.
Is the relation R = {(1, 2)} antisymmetric?
💡 Hint: Look for the reverse pair.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines an antisymmetric relation?
💡 Hint: Think about the implications of pairs being equal.
Is the relation R = {(1, 1), (1, 2)} antisymmetric?
💡 Hint: Identify if both pairs exist.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Define whether R = {(1, 1), (2, 2), (3, 3), (1, 2)} is antisymmetric. Explain your reasoning.
💡 Hint: Look for pairs that might contradict.
Create a set of relations R on {a, b, c} such that R is antisymmetric but contains both (a, b) and (b, a). Can this be done? Discuss why or why not.
💡 Hint: Reflect on properties governing antisymmetry.
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