Practice - Examples of Infinite Sets
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Practice Questions
Test your understanding with targeted questions
What defines a countably infinite set?
💡 Hint: Think about listing or counting.
Give an example of a countably infinite set.
💡 Hint: Consider sets that don't stop growing.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Which of the following sets is countably infinite?
💡 Hint: Think about how you'd list each member of the set.
Cantor's diagonalization shows that which of the following sets is uncountable?
💡 Hint: Consider if you can cover all possibilities.
1 more question available
Challenge Problems
Push your limits with advanced challenges
In Cantor's diagonal argument, demonstrate how one can create a new binary string from an infinite binary string list.
💡 Hint: Utilize the diagonal method!
Explain why the set of rational numbers is countable while the set of real numbers is uncountable.
💡 Hint: Think about representation in decimal forms.
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