Practice - Implication of Equivalence Classes
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Practice Questions
Test your understanding with targeted questions
What are the three properties that define an equivalence relation?
💡 Hint: Remember the acronym RST.
Give an example of a reflexive relation.
💡 Hint: Think of numbers.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following are properties of equivalence relations?
💡 Hint: RST is key!
True or False: Equivalence classes can share elements with each other.
💡 Hint: Think about the definition.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Demonstrate how to prove that every equivalence class under a given relation is non-empty.
💡 Hint: Start from the definition of an equivalence relation.
Given that [0] and [3] represent two equivalence classes under modulo 3, prove whether they share elements or not.
💡 Hint: Consider their definitions carefully.
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