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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'cardinality'.
💡 Hint: It's about counting elements.
Question 2
Easy
How many elements are in the set of positive integers?
💡 Hint: Think about the positive integers themselves.
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 does cardinality refer to?
💡 Hint: It's about counting how many items are there.
Question 2
True or False: All infinite sets have the same cardinality.
- True
- False
💡 Hint: Think about the countable versus uncountable expanses.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the set of all rational numbers cannot be uncountable.
💡 Hint: Remember, rational numbers can be expressed in m/n format.
Question 2
Show that the union of countable sets is countable using diagonalization.
💡 Hint: Check how elements can be indexed systematically.
Challenge and get performance evaluation