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Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
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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 number of elements in the set.
Question 2
Easy
Is the set of even numbers countable?
💡 Hint: Think about how we can list the even numbers.
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 is a bijection?
- A one-to-one function
- A function that repeats elements
- Any function
💡 Hint: Think about the characteristics that define a bijection.
Question 2
Is the set of integers countable?
- True
- False
💡 Hint: Consider the way integers can be sequenced.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the set of all even integers is countable by constructing a bijection.
💡 Hint: Use the definition of bijection you have learned.
Question 2
Determine whether the set of all subsets of natural numbers is countable or uncountable.
💡 Hint: Think about the implications of matching elements to subsets.
Challenge and get performance evaluation