Practice - Claim 1
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Practice Questions
Test your understanding with targeted questions
Define cardinality.
💡 Hint: Think about how we measure the size of a collection.
What is an injective mapping?
💡 Hint: Consider how a one-to-one relationship works.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does cardinality measure?
💡 Hint: Think about how we define the overall count of items.
True or False: An injective mapping can map two different inputs to the same output.
💡 Hint: Reflect on the one-to-one relationship described in definitions.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the set of rational numbers is countably infinite.
💡 Hint: Structure your list carefully to ensure each fraction is included exactly once.
Show that removing one element from any infinite set leaves an infinite set.
💡 Hint: You can relate it to the counting of elements and their infinite nature.
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