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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of an equivalence relation?
💡 Hint: Think about the properties that must be satisfied.
Question 2
Easy
Give an example of a reflexive relation.
💡 Hint: Consider pairs where the elements are the same.
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 must an equivalence relation satisfy?
- Reflexive
- Symmetric
- Transitive
- All of the above
💡 Hint: Recall the definition of equivalence relation.
Question 2
True or False: The relation R = {(1,2),(2,3)} is an equivalence relation.
💡 Hint: Consider what reflexivity entails.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the relation R = {(1,1), (1,2), (2,1), (2,2), (2,3), (3,2)} on set A = {1, 2, 3} is an equivalence relation.
💡 Hint: Verify each property meticulously.
Question 2
Consider the relation R defined on set B = {a, b, c} with R = {(a,a), (b,b), (c,c), (a,b), (b,a)}. Is R equilibrium? Justify.
💡 Hint: Step through each property.
Challenge and get performance evaluation