Practice - Definition of Total Ordering
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
Define total ordering in your own words.
💡 Hint: Think about relationships in sets.
What property states that A ≤ A?
💡 Hint: It's about self-relation.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following is an example of total ordering?
💡 Hint: Consider which relationships have definite comparisons.
True or False: Total ordering can have incomparable elements.
💡 Hint: Think about what totality means in terms of element comparison.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Consider the set {1, 2, 3, 4}. Identify and justify which ordering relations classify it as a total order.
💡 Hint: Write out comparisons for pairs and check connectivity.
Find a set where divisibility does not provide total ordering. Explain the elements and relationships.
💡 Hint: Think of how some numbers do not relate under the divides relation.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.