Practice - Set S with Single 1
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 cardinality in your own words.
💡 Hint: Think about how many elements can fit in the set.
What is an injective function?
💡 Hint: Consider the idea of pairing items uniquely.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does cardinality measure?
💡 Hint: Think about what you are counting.
Is it possible for an infinite set to have a cardinality less than א₀?
💡 Hint: Look back at the definitions of infinite sets.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Prove that the union of two countably infinite sets is countably infinite with an example.
💡 Hint: Think about merging two sequences while maintaining order.
Explain why a subset of positive integers cannot be both finite and uncountably infinite.
💡 Hint: Review definitions of finite and infinite sets.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.