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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define cardinality in your own words.
💡 Hint: Think about how many elements can fit in the set.
Question 2
Easy
What is an injective function?
💡 Hint: Consider the idea of pairing items uniquely.
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 does cardinality measure?
- Size of a set
- Quality of a set
- Type of elements
💡 Hint: Think about what you are counting.
Question 2
Is it possible for an infinite set to have a cardinality less than א₀?
- True
- False
💡 Hint: Look back at the definitions of infinite sets.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the union of two countably infinite sets is countably infinite with an example.
💡 Hint: Think about merging two sequences while maintaining order.
Question 2
Explain why a subset of positive integers cannot be both finite and uncountably infinite.
💡 Hint: Review definitions of finite and infinite sets.
Challenge and get performance evaluation