Practice Transitive Relations (17.5) - Irreflexive Relation - Discrete Mathematics - Vol 1
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Transitive Relations

Practice - Transitive Relations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a transitive relation in your own words.

💡 Hint: Think about how relationships connect.

Question 2 Easy

Give an example of a transitive relation.

💡 Hint: Consider family relations.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What characterizes a transitive relation?

If aRb and bRc then aRc
If aRb then bRc
a is equal to b

💡 Hint: Remember the relationship structure!

Question 2

True or False: All transitive relations are symmetric.

True
False

💡 Hint: Consider the definitions of both properties.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Consider a relation defined over a set A = {1, 2, 3}. Given pairs are {(1, 2), (2, 3), (1, 3)}. Is this relation transitive? Justify your answer.

💡 Hint: Check all the necessary conditions for transitivity.

Challenge 2 Hard

Construct a non-transitive relation over the set {1, 2, 3} and prove it is not transitive.

💡 Hint: Focus on withdraw pair conditions.

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