Practice - Definition of Equivalence Relation
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Practice Questions
Test your understanding with targeted questions
Define equivalence relation.
💡 Hint: What are the three key properties?
Give an example of reflexivity.
💡 Hint: Think of an element relating to itself.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does reflexivity imply about the elements in a set?
💡 Hint: Think about self-relation.
If a is related to b and b is related to c, what can we say about a and c?
💡 Hint: Follow the chain of relations.
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Challenge Problems
Push your limits with advanced challenges
Prove that the relation R defined on integers by a R b if a - b is divisible by 5 is an equivalence relation.
💡 Hint: Use specific integers to illustrate your proof.
Given two equivalence classes [a] and [b], prove that if they intersect, they must be the same.
💡 Hint: Track the connections between shared elements.
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