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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: Think of the acronym RST.
Question 2
Easy
Is (2, 2) in a relation R considered reflexive?
💡 Hint: Check if it holds true for any a.
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
What property requires that an element be related to itself in an equivalence relation?
- Symmetric
- Transitive
- Reflexive
💡 Hint: Think of 'self-relationship'.
Question 2
True or False: In an equivalence relation, if a is related to b, then b must be related to a.
- True
- False
💡 Hint: Remember the 'back and forth' characteristic.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of integers and a relation defined as a ≡ b (mod 5), classify the integers based on their equivalence classes.
💡 Hint: Consider the remainders when each integer is divided by 5.
Question 2
Prove that if two equivalence classes have any element in common, they are the same class.
💡 Hint: Think about how elements are classified in equivalence relations.
Challenge and get performance evaluation