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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is a relation with the pairs {(1,1), (2,2)} reflexive?
💡 Hint: Check if both elements relate to themselves.
Question 2
Easy
Can the empty relation be reflexive?
💡 Hint: Consider what it means to have no elements.
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 defines a reflexive relation?
- Every element relates to a different one.
- Every element relates to itself.
- Some elements relate to themselves.
💡 Hint: Think about the meaning of 'reflexive'.
Question 2
If a relation R is reflexive, which of the following is true?
- True
- False
💡 Hint: Remember how to represent relations with matrices.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set A = {1, 2, 3}, create a non-empty reflexive relation. What pairs must it contain?
💡 Hint: Focus on the requirement of self-pairings.
Question 2
Formulate a scenario where an empty relation can be considered reflexive. Describe the implications.
💡 Hint: Think about the conditions that make a relation valid.
Challenge and get performance evaluation