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Practice Questions
Test your understanding with targeted questions related to the topic.
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.
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 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.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Demonstrate a bijection between the set of natural numbers and the set of rational numbers.
💡 Hint: Consider how to systematically list all possible fractions.
Question 2
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.
Challenge and get performance evaluation