Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does it mean for a relation to be symmetric?
💡 Hint: Think about mutual connections.
Question 2
Easy
Give an example of a reflexive relation.
💡 Hint: Self-relationships are key.
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
Which type of relation includes both (a, b) and (b, a) pairs?
- Reflexive
- Symmetric
- Irreflexive
💡 Hint: Think about bidirectional relationships.
Question 2
True or False: An irreflexive relation contains at least one pair (a, a).
- True
- False
💡 Hint: Consider the definition of irreflexivity.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a relation on set S = {1, 2, 3} that is reflexive but neither symmetric nor anti-symmetric.
💡 Hint: Think of adding relationships that contradict those properties.
Question 2
Given a relation that is symmetric, can you prove it is also reflexive if it includes pairs like (a, a) for some a?
💡 Hint: Visualize the elements involved.
Challenge and get performance evaluation