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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the union of R = {(1, 2)} and S = {(2, 3)}?
💡 Hint: Combine all pairs from both R and S.
Question 2
Easy
Identify whether the intersection of A = {(1, 2)} and B = {(2, 1)} is empty.
💡 Hint: Look for common pairs between both sets.
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 the union of two relations entail?
- Combining all unique pairs from both sets.
- Finding common pairs.
- Determining relational paths.
💡 Hint: Think about how you would gather pairs together.
Question 2
True or False: The composition of relations is commutative.
- True
- False
💡 Hint: Consider examples of relation orders.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a directed graph of 5 vertices with edges: {(1,2), (2,3), (3,4), (4,1)}, determine the transitive closure.
💡 Hint: Keep tracking the paths through adjacent vertices.
Question 2
Construct an example of a relation that is reflexive and symmetric but not transitive.
💡 Hint: Try building pairs while keeping those rules in mind.
Challenge and get performance evaluation