Practice - Lecture No # 28
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 a countable set in your own words.
💡 Hint: Think of examples like the set of natural numbers.
What is ℤ x ℤ?
💡 Hint: Consider how pairs of integers relate to coordinate points.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a countable set?
💡 Hint: Remember the definition of countability.
Are rational numbers countable?
💡 Hint: Think of their representation in fraction form.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Create a unique enumeration method for the set of all integers, demonstrating its countability.
💡 Hint: Consider creative sequences that cover all possibilities.
Prove with examples how a set with an uncountable subset must also be uncountable.
💡 Hint: Use the relationship between subsets and supersets.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.