Practice Set Of Integers (3.8) - Countable and Uncountable Sets - Discrete Mathematics - Vol 2
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Set of Integers

Practice - Set of Integers

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the cardinality of the set {A, B, C}?

💡 Hint: Count the number of elements in the set.

Question 2 Easy

Is the set of even numbers countable?

💡 Hint: Think about how we can list the even numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a bijection?

A one-to-one function
A function that repeats elements
Any function

💡 Hint: Think about the characteristics that define a bijection.

Question 2

Is the set of integers countable?

True
False

💡 Hint: Consider the way integers can be sequenced.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the set of all even integers is countable by constructing a bijection.

💡 Hint: Use the definition of bijection you have learned.

Challenge 2 Hard

Determine whether the set of all subsets of natural numbers is countable or uncountable.

💡 Hint: Think about the implications of matching elements to subsets.

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Reference links

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