Practice Examples of Asymmetric Relations - 17.3.2 | 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

What is an asymmetric relation? Provide an example.

💡 Hint: Think about friendships that are not mutual.

Question 2

Easy

What does the diagonal in a relation's matrix representation represent?

💡 Hint: Visualize how each element relates to 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

In an asymmetric relation, if (a, b) is present, which of the following is true?

  • (b
  • a) must be present
  • (b
  • a) may or may not be present
  • (a
  • b) must not be present

💡 Hint: Relate it to traffic directions.

Question 2

True or False: Every asymmetric relation is also antisymmetric.

  • True
  • False

💡 Hint: Think about the 'one-way street' scenario.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create three distinct examples of asymmetric relations and justify why each qualifies as such.

💡 Hint: Consider combining pairs in your relation.

Question 2

Analyze the relationship R = {(1, 2), (2, 3), (3, 1)}; is it asymmetric? Discuss the implications.

💡 Hint: Break down each relationship carefully.

Challenge and get performance evaluation