Practice - Part D: Irreflexive 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.
Practice Questions
Test your understanding with targeted questions
Give an example of an irreflexive relation on the set {x, y}.
💡 Hint: Avoid including (x, x) or (y, y).
What is the definition of an irreflexive relation?
💡 Hint: Think about the pairs that are disallowed.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
An irreflexive relation cannot include which of the following pairs?
💡 Hint: Focus on the definition of irreflexive relations.
True or False: An irreflexive relation can be symmetric.
💡 Hint: Think about simultaneous inclusion conditions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a set of n elements, derive the conditions under which an irreflexive and symmetric relation can exist.
💡 Hint: Focus on distinguishing unique pairs against their reversals.
Formulate a proof that if a relation is both irreflexive and anti-symmetric, it must only consist of pairs where the two elements are distinct.
💡 Hint: Analyze how each condition limits the inclusion of pairs distinctly.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.