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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the cardinality of the set {A, B, C}?
💡 Hint: Count the elements in the set.
Question 2
Easy
Is the set of all even numbers countable or uncountable?
💡 Hint: Can you list the even numbers in a sequence?
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
Which symbol denotes the cardinality of countably infinite sets?
- ℵ₀
- ∞
- C
💡 Hint: Think about what symbol we learned for countably infinite sets.
Question 2
True or False: The set of all integers is uncountable.
- True
- False
💡 Hint: Remember how we can list integers in a sequence.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the set of all rational numbers. Determine if it is countably infinite and provide a proof.
💡 Hint: Try constructing a diagonal argument to illustrate the listing of rationals.
Question 2
What can you infer about the power set of a countably infinite set? Is it countable or uncountable?
💡 Hint: Reflect on how many subsets a set has and consider Cantor's argument.
Challenge and get performance evaluation