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 is an irreflexive relation?
💡 Hint: Think about what happens with self-loops.
Question 2
Easy
Can a relation be both reflexive and irreflexive? Under what condition?
💡 Hint: Consider the implications of having no elements.
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 is a symmetric relation?
- A. If (a
- b) exists
- then (b
- a) must also exist.
- B. A relation with no self-loops.
- C. A relation that is always reflexive.
💡 Hint: Think about pairs relating to each other.
Question 2
True or False: An empty relation can be considered symmetric.
- True
- False
💡 Hint: Remember the conditions for relations in the absence of elements.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a set A = {1, 2, 3, 4} and a relation defined as R = {(1, 2), (2, 1), (3, 4)}, determine if R is symmetric, asymmetric, or neither.
💡 Hint: Identify the pairs and their relationships.
Question 2
Prove or disprove: A relation can be both asymmetric and antisymmetric.
💡 Hint: Consider the definitions closely.
Challenge and get performance evaluation