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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the union of two relations.
💡 Hint: Think about what happens to overlapping pairs.
Question 2
Easy
What is the intersection of two relations?
💡 Hint: What do they have in common?
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 consist of?
- Only pairs from one relation
- All pairs from both relations
- Only unique pairs
💡 Hint: Think of taking both sets together.
Question 2
True or False: The composition of two relations is always commutative.
- True
- False
💡 Hint: Consider examples of R o S and S o R.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given relations R = {(1,2), (2,3)} and S = {(3,4), (2,4)}, find the composition R o S, then calculate the powers R^2 and the closure for reflexivity.
💡 Hint: Build step by step: Composition first, then powers.
Question 2
Examine the relation T = {(1, 2), (2, 3)} and its symmetric closure. After defining the symmetric closure, determine if T is itself symmetric.
💡 Hint: Draw T and visualize; determine pairs that must be added for symmetry.
Challenge and get performance evaluation