Practice - Part (a): Symmetric and Transitive Relations
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Practice Questions
Test your understanding with targeted questions
Define a symmetric relation with an example.
💡 Hint: Think about how friendships work!
What does it mean for a relation to be transitive?
💡 Hint: Consider a chain of relationships!
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a symmetric relation?
💡 Hint: Recall definitions of relations.
True or False: All transitive relations are also symmetric.
💡 Hint: Consider the definitions carefully.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove whether the relation defined by R = {(1, 2), (2, 3), (3, 1)} is transitive.
💡 Hint: Check the connections between the elements carefully.
Construct a relation R on a set A = {a, b, c, d} that is symmetric and give a counterexample to show why R can be transitive but not reflexive.
💡 Hint: Always ensure to list all pairs thoroughly.
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