Practice Examples Of Countably Finite Sets (3.6) - Countable and Uncountable Sets
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Examples of Countably Finite Sets

Practice - Examples of Countably Finite Sets

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a countable set?

💡 Hint: Think about the definition used in determining if a set is countable.

Question 2 Easy

Give an example of a finite countable set.

💡 Hint: Consider a set with a limited number of elements.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What defines a countably infinite set?

It is finite
It has a bijection with positive integers
It has no elements

💡 Hint: Remember the characteristics of countable sets.

Question 2

Is the set of integers countable?

True
False

💡 Hint: Think about how you would list both integers and positives.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate a bijection between the set of natural numbers and the set of rational numbers.

💡 Hint: Consider how to systematically list all possible fractions.

Challenge 2 Hard

Can you create a map for the relation between the set of all integers and the set of even integers?

💡 Hint: Think about how one integer corresponds to one even integer.

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