Practice Examples Of Asymmetric Relations (17.3.2) - Irreflexive Relation
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Examples of Asymmetric Relations

Practice - Examples of Asymmetric Relations

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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Consider combining pairs in your relation.

Challenge 2 Hard

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

💡 Hint: Break down each relationship carefully.

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