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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an antisymmetric relation.
💡 Hint: Think about the implication of pairs in a relation.
Question 2
Easy
Is the relation R = {(1, 2)} antisymmetric?
💡 Hint: Look for the reverse pair.
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 antisymmetric relation?
- If a relates to b and b to a
- a must equal b
- If a relates to b
- then b relates to a
- None of the above
💡 Hint: Think about the implications of pairs being equal.
Question 2
Is the relation R = {(1, 1), (1, 2)} antisymmetric?
- True
- False
💡 Hint: Identify if both pairs exist.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Define whether R = {(1, 1), (2, 2), (3, 3), (1, 2)} is antisymmetric. Explain your reasoning.
💡 Hint: Look for pairs that might contradict.
Question 2
Create a set of relations R on {a, b, c} such that R is antisymmetric but contains both (a, b) and (b, a). Can this be done? Discuss why or why not.
💡 Hint: Reflect on properties governing antisymmetry.
Challenge and get performance evaluation