Practice - Tutorial 5
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Practice Questions
Test your understanding with targeted questions
What is cardinality?
💡 Hint: Think about how we count items.
Give an example of a countably infinite set.
💡 Hint: Can you list numbers sequentially starting from one?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Schröder-Bernstein theorem establish?
💡 Hint: Recall if injective mapping implies equality in size of sets.
Is the intersection of two uncountable sets always uncountable?
💡 Hint: Consider the examples of different types of sets.
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Challenge Problems
Push your limits with advanced challenges
Prove that the union of a countably infinite number of countable sets remains countable.
💡 Hint: Focus on how indices can dictate ordering.
Given two uncountable sets, describe how their intersection can ever be countable.
💡 Hint: Assess the boundaries set by each uniqueness.
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Reference links
Supplementary resources to enhance your learning experience.