Practice - Reflexive Closure
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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 elements relate to themselves.
Given a set A = {1, 2, 3} and a relation R = {(1, 2)}, what pairs need to be added for it to be reflexive?
💡 Hint: Self-referencing pairs are necessary.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the reflexive closure of a relation?
💡 Hint: Think about examples of relations that include self-references.
True or False: The reflexive closure can lead to the addition of duplicate pairs.
💡 Hint: Remember the properties of union in set theory.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Create a reflexive closure for the relation R = {(1, 2), (2, 3)} over the set A = {1, 2, 3}. What is the resulting relation?
💡 Hint: Make sure to include all necessary self-references.
In a network of friends, if R denotes relationships, how would you explain the reflexive closure in terms of social ties?
💡 Hint: Consider self-identification in a social context.
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