Practice Definition and Characteristics - 17.3.1 | 17. Irreflexive Relation | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

💡 Hint: Focus on self-relation conditions.

Question 2

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

💡 Hint: Track connections across relations.

Challenge and get performance evaluation