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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Is the relation R = {(1, 2), (2, 3)} irreflexive?
💡 Hint: Check if (a, a) is in R.
Question 2
Easy
What defines a symmetric relation?
💡 Hint: Think of reciprocal 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 defines an irreflexive relation?
- A must relate to itself
- A cannot relate to itself
- A can relate to any element
💡 Hint: Think about whether (a, a) is present.
Question 2
True or False: A transitive relation means if a relates to b and b to c, then a must relate to c.
- True
- False
💡 Hint: Visualize the relationships in a graph.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Can a relation be both irreflexive and reflexive for a non-empty set? Justify your answer.
💡 Hint: Reflect on the definitions of both properties.
Question 2
Provide a detailed example of a relation that satisfies all three properties: symmetric, antisymmetric, and transitive. Is such a relation possible?
💡 Hint: Consider the characteristics of an empty set.
Challenge and get performance evaluation