Practice Transitive Relations - 17.5 | 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 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.

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 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.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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

💡 Hint: Focus on withdraw pair conditions.

Challenge and get performance evaluation