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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define the term 'cardinality'.
💡 Hint: Think about how you count objects in a box.
Question 2
Easy
What is an injective mapping?
💡 Hint: Remember, no two inputs should overlap in their outputs.
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 the term 'cardinality' refer to?
- Size of a set
- A type of set
- An equation
💡 Hint: Consider the number of items in a collection.
Question 2
If two sets have injective mappings between them, what can we conclude?
- True
- False
💡 Hint: Think about the relationships defined by these mappings.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Create a set of rational numbers between 0 and 1 and prove its cardinality.
💡 Hint: Think about how to list all possible fractions fitting that description.
Question 2
Prove the intersection of two uncountable sets can be empty.
💡 Hint: Visualize how different sets can share no values.
Challenge and get performance evaluation