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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What are the three properties of an equivalence relation?
💡 Hint: Use the acronym RST.
Question 2
Easy
Is the relation R defined as (a, b) such that a = b an equivalence relation?
💡 Hint: Consider if each property holds true.
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 is NOT a property of equivalence relations?
- Reflexive
- Irreflexive
- Symmetric
- Transitive
💡 Hint: Recall the properties we discussed.
Question 2
True or False: An equivalence class can be empty.
- True
- False
💡 Hint: Think about how classes are formed based on relations.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Show that the relation R on the set of all people where a R b if they are the same age is an equivalence relation.
💡 Hint: Check each property carefully.
Question 2
Given the equivalence relation defined by modular arithmetic, form and describe equivalence classes for five distinct integers under modulo 5.
💡 Hint: Picture how numbers relate to the modulus.
Challenge and get performance evaluation