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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define equivalence relation.
💡 Hint: What are the three key properties?
Question 2
Easy
Give an example of reflexivity.
💡 Hint: Think of an element relating to itself.
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 does reflexivity imply about the elements in a set?
- Each element is related to itself
- All elements are related to one another
- Elements relate in pairs
💡 Hint: Think about self-relation.
Question 2
If a is related to b and b is related to c, what can we say about a and c?
- True
- False
💡 Hint: Follow the chain of relations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
Given two equivalence classes [a] and [b], prove that if they intersect, they must be the same.
💡 Hint: Track the connections between shared elements.
Challenge and get performance evaluation