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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a partition?
💡 Hint: Think about how you can divide something into parts that don’t overlap.
Question 2
Easy
Give an example of an equivalence relation.
💡 Hint: Consider how numbers relate to each other.
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 is an equivalence relation?
- A relation that is only symmetric.
- A relation that is reflexive
- symmetric
- and transitive.
- A relation that has no properties.
💡 Hint: Remember RST for Reflexive, Symmetric, Transitive.
Question 2
True or False: Partitions can overlap.
- True
- False
💡 Hint: Think about the definition of partition again.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a set of students and partitions them into groups based on their favorite colors. Then define an equivalence relation based on this partition.
💡 Hint: Think how to relate members based on their color preference.
Question 2
Given the equivalence relation R on set A where R = {(1, 1), (2, 2), (1, 2), (2, 1)}. Determine the equivalence classes and show they form a partition.
💡 Hint: Identify how members relate to each other under R.
Challenge and get performance evaluation