Practice - Operations on Relations
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Practice Questions
Test your understanding with targeted questions
Define the union of two relations.
💡 Hint: Think about what happens to overlapping pairs.
What is the intersection of two relations?
💡 Hint: What do they have in common?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the union of two relations consist of?
💡 Hint: Think of taking both sets together.
True or False: The composition of two relations is always commutative.
💡 Hint: Consider examples of R o S and S o R.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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