Practice Definition And Characteristics (17.3.1) - Irreflexive Relation
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Definition and Characteristics

Practice - Definition and Characteristics - 17.3.1

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Practice Questions

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Question 1 Easy

Define an irreflexive relation using set A = {1, 2, 3}.

💡 Hint: Focus on pairs without self-relations.

Question 2 Easy

Give an example of a symmetric relation.

💡 Hint: Ensure all connections are mutual.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is an irreflexive relation?

Elements must relate to themselves
No element relates to itself
Every element relates to another

💡 Hint: Think about self-relations.

Question 2

If a relation is symmetric, what must be true?

True
False

💡 Hint: Consider mutual relationships.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Create a relation on set A = {1, 2, 3} that is both symmetric and antisymmetric but not reflexive.

💡 Hint: Focus on self-relation conditions.

Challenge 2 Hard

Prove that the union of two transitive relations is also transitive.

💡 Hint: Track connections across relations.

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Reference links

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