Practice Reflexive Relations (16.3.1) - Relations - Discrete Mathematics - Vol 1
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Reflexive Relations

Practice - Reflexive Relations

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Is a relation with the pairs {(1,1), (2,2)} reflexive?

💡 Hint: Check if both elements relate to themselves.

Question 2 Easy

Can the empty relation be reflexive?

💡 Hint: Consider what it means to have no elements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a reflexive relation?

Every element relates to a different one.
Every element relates to itself.
Some elements relate to themselves.

💡 Hint: Think about the meaning of 'reflexive'.

Question 2

If a relation R is reflexive, which of the following is true?

True
False

💡 Hint: Remember how to represent relations with matrices.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a set A = {1, 2, 3}, create a non-empty reflexive relation. What pairs must it contain?

💡 Hint: Focus on the requirement of self-pairings.

Challenge 2 Hard

Formulate a scenario where an empty relation can be considered reflexive. Describe the implications.

💡 Hint: Think about the conditions that make a relation valid.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.