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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define an irreflexive relation and provide an example.
💡 Hint: Consider a simple set with two elements.
Question 2
Easy
What describes a symmetric relation?
💡 Hint: Think about a mirror image in relation.
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 characterizes an irreflexive relation?
- Self-relation exists
- No self-relation
- Some self-relations
💡 Hint: Focus on the definitions of reflexive vs irreflexive.
Question 2
True or False: A symmetric relation requires that both (a, b) and (b, a) are always present.
- True
- False
💡 Hint: Consider the meaning of 'if'.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a set A with 4 elements and define your own irreflexive relation. Show its matrix representation.
💡 Hint: Remember no self-relating pairs.
Question 2
Can a relation both be symmetric and asymmetric? Justify your answer with a counter-example.
💡 Hint: Analyze the definitions of each.
Challenge and get performance evaluation