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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a relation to be reflexive?
💡 Hint: Think of a = a.
Question 2
Easy
Provide an example of a symmetric relation.
💡 Hint: Consider how relationships often work.
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 properties is NOT required for a relation to be an equivalence relation?
- Reflexivity
- Symmetry
- Irreflexivity
💡 Hint: What does reflexivity indicate?
Question 2
True or false: If a is related to b and b is related to c, then a is definitely related to c.
- True
- False
💡 Hint: What property does this describe?
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Formulate a real-world scenario that can be modeled as an equivalence relation and justify why it's an equivalence relation.
💡 Hint: Consider how grading could show equivalence among students.
Question 2
Explore if the relation 'is a sibling of' on a set of individuals forms an equivalence relation. Discuss the properties.
💡 Hint: Use logical family connections.
Challenge and get performance evaluation