Practice - Composition of Relations
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Practice Questions
Test your understanding with targeted questions
What is the intersection of R1 = {(1, 2), (2, 3)} and R2 = {(2, 3), (3, 4)}?
💡 Hint: Find the common pairs present in both relations.
If R3 = {(a, b), (b, c)} and R4 = {(b, c), (c, d)}, what is R3 ∪ R4?
💡 Hint: Combine all pairs from both sets.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
The union of two relations R and S includes pairs where:
💡 Hint: Remember what union means in set theory.
True or False: The intersection of R1 and R2 can be empty if both relations are completely disjoint.
💡 Hint: Think about what intersection means.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given R = {(1, 2), (2, 3), (3, 4)} and S = {(2, 3), (3, 5)}, compute R o S and explore the meaning behind it.
💡 Hint: Think about how pairs connect to meet through mutual relationships.
Construct and explain the symmetric closure of R = {(1, 2), (2, 3)}.
💡 Hint: Consider what happens to asymmetric relations!
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Reference links
Supplementary resources to enhance your learning experience.