Practice - Question 4
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Practice Questions
Test your understanding with targeted questions
Define a countable set with an example.
💡 Hint: Think of listing elements in a sequence.
What is the significance of the union of two countable sets?
💡 Hint: Consider the definition of countability.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a countable set?
💡 Hint: Consider how lists of elements are structured.
The union of two countable sets is what type of set?
💡 Hint: Remember the definitions discussed.
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Challenge Problems
Push your limits with advanced challenges
If you have three countable sets, S₁, S₂, and S₃, how can you show their union remains countable?
💡 Hint: Think about how each element can be represented by its indices.
Provide a counterexample to show that the union of an uncountable set with a countable set is uncountable.
💡 Hint: Reflect on the definitions of countable versus uncountable.
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