Practice - Construction of Hasse Diagrams
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Practice Questions
Test your understanding with targeted questions
What does it mean for a relation to be reflexive?
💡 Hint: Think about how every number relates to itself.
Can you provide an example of an antisymmetric relation?
💡 Hint: Refer back to our integer examples.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does antisymmetry imply in a partial order?
💡 Hint: Focus on the nature of mutual relationships.
True or False: A Hasse diagram must include self-loops for every element.
💡 Hint: Consider the properties of reflexivity involved in the diagram.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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