Practice Special Sets (15.3) - Sets - Discrete Mathematics - Vol 1
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Special Sets

Practice - Special Sets

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the empty set?

💡 Hint: Think of a bag with nothing inside.

Question 2 Easy

Give an example of a singleton set.

💡 Hint: A set with just one item can be a singleton.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the symbol ϕ represent?

A singleton set
The empty set
A proper subset

💡 Hint: Recall what an empty set indicates.

Question 2

True or False: The empty set is equal to {ϕ}.

True
False

💡 Hint: Think about the elements each set contains.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Prove that the empty set is a subset of any set A, using logic and definitions.

💡 Hint: Think about how subset definitions work.

Challenge 2 Hard

Create examples of sets A, B, C such that A is a proper subset of B, and both sets include a singleton set.

💡 Hint: What makes one a proper subset.

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Reference links

Supplementary resources to enhance your learning experience.