Practice Asymmetric Relations - 17.3 | 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 an asymmetric relation in your own words.

💡 Hint: Think about it like a one-way street.

Question 2

Easy

Draw a matrix representation for the relation R = {(1, 2)} where A = {1, 2}.

💡 Hint: Remember the diagonal will always be 0 for asymmetric.

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

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

  • True
  • False

💡 Hint: Recall what asymmetric means.

Question 2

Which of the following is NOT an example of an asymmetric relation?

  • Parent-Child
  • Friends
  • Manager-Employee

💡 Hint: Think about the directions in each relationship.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given relation R = {(1, 3), (2, 1), (3, 2)}, discuss whether R is asymmetric, providing justification.

💡 Hint: Examine all possible pairs within the relation.

Question 2

Construct a larger asymmetric relation from set A = {1, 2, 3, 4} with five different ordered pairs and verify if it holds the properties of asymmetry.

💡 Hint: Check each combination to ensure none violate the asymmetric rules.

Challenge and get performance evaluation