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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a symmetric relation in your own words.
💡 Hint: Think about how relationships often work in pairs.
Question 2
Easy
What is an example of an irreflexive relation?
💡 Hint: Consider numerical comparisons where one number can’t equal 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 defines a symmetric relation?
- If (a
- b) implies (b
- a)
- If (a
- b) implies b > a
- If (a
- b) implies (a
- a)
💡 Hint: What would happen if you reversed the pairs in a relationship?
Question 2
True or False: An anti-symmetric relation can have (a, a) and (b, b) without issue.
- True
- False
💡 Hint: Consider the definition of anti-symmetry carefully.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set A = {a, b, c}, construct all possible relations and categorize them by symmetry, anti-symmetry, and irreflexivity.
💡 Hint: Use the definition of each type to guide your categorization.
Question 2
Prove that a symmetric relation on a set can never be irreflexive.
💡 Hint: Start with the definitions of symmetric and irreflexive relations.
Challenge and get performance evaluation