Practice - Set of Real Numbers with Decimal Representation of Only 1s
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Practice Questions
Test your understanding with targeted questions
Define Cardinality.
💡 Hint: Think about how many elements a set has.
What is an injective function?
💡 Hint: Remember, no two outputs should be the same for different inputs.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does cardinality refer to?
💡 Hint: Think about how big the set is.
True or False: An injective function maps two inputs to the same output.
💡 Hint: Recall the definition of injective functions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that for any set A, removing a finite number of elements will leave the cardinality either unchanged or smaller.
💡 Hint: Consider the implications of finite vs infinite removals.
Show that the union of two countably infinite sets is countably infinite.
💡 Hint: Think about list ordering.
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