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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 elements relate to themselves.
Question 2
Easy
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.
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 is the reflexive closure of a relation?
- A new relation excluding existing pairs
- The smallest superset containing (a
- a) pairs
- A relation with no pairs
💡 Hint: Think about examples of relations that include self-references.
Question 2
True or False: The reflexive closure can lead to the addition of duplicate pairs.
- True
- False
💡 Hint: Remember the properties of union in set theory.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation