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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a symmetric relation?
💡 Hint: Consider how pairs are related.
Question 2
Easy
Provide an example of an anti-symmetric relation.
💡 Hint: Think about how elements relate when they are equal.
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 pairs must both be present for a symmetric relation?
- (i
- j)
- (i
- j)
- (j
- i)
- (i
- k)
💡 Hint: Think about how the pairs relate to each other.
Question 2
True or False: All reflexive relations are also symmetric.
- True
- False
💡 Hint: Consider the definitions of both properties.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set of 5 elements, calculate the number of different symmetric relations possible. Show your workings.
💡 Hint: Focus on how each pair can be chosen.
Question 2
Explain why a relation that is both reflexive and asymmetric cannot exist. Provide a contradiction.
💡 Hint: Consider the definitions and how they interact.
Challenge and get performance evaluation