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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define closure of a relation.
💡 Hint: Focus on the term 'smallest superset'.
Question 2
Easy
What does reflexive closure entail?
💡 Hint: Remember, every element relates to itself.
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 R = {(1, 2)}?
- {(1
- 2)
- (1
- 1)
- (2
- 2)}
- {(1
- 2)}
- {(2
- 2)}
- None of the above
💡 Hint: List the pairs that ensure reflexivity.
Question 2
True or False: A transitive closure may require multiple iterations to complete.
- True
- False
💡 Hint: Think about what transitive means in relation.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a relation R = {(1, 2), (2, 3), (3, 4)}, compute and explain its reflexive, symmetric, and transitive closures step-by-step.
💡 Hint: Break down the steps, focusing on pairs added at each closure stage.
Question 2
How would you approach finding the transitive closure of a relation containing many elements? Describe your methodology and how you validate each pairing.
💡 Hint: Consider writing pseudo-code to visualize your approach.
Challenge and get performance evaluation