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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a relation to be reflexive?
💡 Hint: Think about how every number relates to itself.
Question 2
Easy
Can you provide an example of an antisymmetric relation?
💡 Hint: Refer back to our integer examples.
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 does antisymmetry imply in a partial order?
- If aRb and bRa
- then a = b
- If aRb
- then a < b
- All elements are comparable
💡 Hint: Focus on the nature of mutual relationships.
Question 2
True or False: A Hasse diagram must include self-loops for every element.
- True
- False
💡 Hint: Consider the properties of reflexivity involved in the diagram.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the set {2, 4, 5, 10, 20} and the relation 'divides', construct the Hasse diagram showing all relationships.
💡 Hint: Focus on which numbers divide which and build step by step.
Question 2
Using the set {then, when, where} create a Hasse diagram reflecting the inclusion of subsets.
💡 Hint: Remember that every subset is part of the larger set.
Challenge and get performance evaluation