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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the three properties that define an equivalence relation?
💡 Hint: Remember the acronym RST.
Question 2
Easy
Give an example of a reflexive relation.
💡 Hint: Think of numbers.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
Which of the following are properties of equivalence relations?
- Reflexive
- Transitive
- Both A and B
- None
💡 Hint: RST is key!
Question 2
True or False: Equivalence classes can share elements with each other.
- True
- False
💡 Hint: Think about the definition.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate how to prove that every equivalence class under a given relation is non-empty.
💡 Hint: Start from the definition of an equivalence relation.
Question 2
Given that [0] and [3] represent two equivalence classes under modulo 3, prove whether they share elements or not.
💡 Hint: Consider their definitions carefully.
Challenge and get performance evaluation