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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation with an example.
💡 Hint: Think about how friendships work!
Question 2
Easy
What does it mean for a relation to be transitive?
💡 Hint: Consider a chain of relationships!
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 is a symmetric relation?
- If aRb then bRa
- If aRb then aRc
- No specific property
💡 Hint: Recall definitions of relations.
Question 2
True or False: All transitive relations are also symmetric.
- True
- False
💡 Hint: Consider the definitions carefully.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove whether the relation defined by R = {(1, 2), (2, 3), (3, 1)} is transitive.
💡 Hint: Check the connections between the elements carefully.
Question 2
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.
Challenge and get performance evaluation