Practice - Examples of Transitive Relations
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Practice Questions
Test your understanding with targeted questions
Is the relation R = {(1, 1), (2, 3)} irreflexive?
💡 Hint: Recall that an irreflexive relation cannot contain (a, a).
Is R = {(1, 2), (2, 1)} symmetric?
💡 Hint: Check if both directional relations are included.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is an irreflexive relation?
💡 Hint: Recall the definition of irreflexive.
True or False: Every symmetric relation is also antisymmetric.
💡 Hint: Think about how symmetry contradicts antisymmetry.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given a relation R = {(1, 2), (2, 1), (2, 3)}, determine if R is symmetric, antisymmetric, or both.
💡 Hint: Examine the conditions set by the definitions.
If a relation defined on a set A is both symmetric and antisymmetric, under what conditions does this occur?
💡 Hint: Think about how each definition constrains relationships.
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