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
Is the relation R = {(1, 2), (2, 1)} irreflexive for set A = {1, 2}?
💡 Hint: Check if any pairs (a, a) exist.
Question 2
Easy
What entry in the matrix representation of an irreflexive relation would you expect for (1, 1)?
💡 Hint: Remember, we are looking for self-relating pairs.
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 defines an irreflexive relation?
- (a
- a) is present
- (a
- a) is absent
- May or may not have (a
- a)
💡 Hint: Think about the definition of irreflexive.
Question 2
True or False: The empty relation is both reflexive and irreflexive.
- True
- False
💡 Hint: Consider the definition of these terms in a void scenario.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If A = {x, y, z} and R = {(x, y), (y, z), (x, z)}, classify R as reflexive or irreflexive. Justify your answer.
💡 Hint: Check each element in A.
Question 2
Provide an example of a relation R from a set A = {1, 2, 3} that is irreflexive and also explain the matrix representation.
💡 Hint: Ensure no self-relating pairs are included.
Challenge and get performance evaluation