Practice - Summary of Binary Relations
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Practice Questions
Test your understanding with targeted questions
Is the relation R = {(1, 2), (2, 3)} irreflexive?
💡 Hint: Check if (a, a) is in R.
What defines a symmetric relation?
💡 Hint: Think of reciprocal relationships.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines an irreflexive relation?
💡 Hint: Think about whether (a, a) is present.
True or False: A transitive relation means if a relates to b and b to c, then a must relate to c.
💡 Hint: Visualize the relationships in a graph.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Can a relation be both irreflexive and reflexive for a non-empty set? Justify your answer.
💡 Hint: Reflect on the definitions of both properties.
Provide a detailed example of a relation that satisfies all three properties: symmetric, antisymmetric, and transitive. Is such a relation possible?
💡 Hint: Consider the characteristics of an empty set.
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