Practice Part C: Asymmetric Relations (21.4.3) - Lecture -20 - Discrete Mathematics - Vol 1
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Part C: Asymmetric Relations

Practice - Part C: Asymmetric Relations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define an asymmetric relation in your own words.

💡 Hint: Think about what happens if both pairs are present.

Question 2 Easy

Give an example of a symmetric relation.

💡 Hint: Think about family relations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

If (a, b) is in an asymmetric relation, must (b, a) be in it?

True
False

💡 Hint: Recall the definition of asymmetric relations.

Question 2

The relation 'is greater than' on real numbers is:

Symmetric
Asymmetric
Neither
Both

💡 Hint: Think about the implications of higher numbers.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a set of 6 elements, illustrate all possible asymmetric relations.

💡 Hint: Sketch multiple relations and observe patterns in relations.

Challenge 2 Hard

Design a proof showing the nature of diagonal pairs in asymmetric relations.

💡 Hint: Focus on definitions to establish properties.

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Reference links

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