Practice Sets (15) - Sets - Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a set?

💡 Hint: Think about how elements are grouped.

Question 2 Easy

What does '∈' signify?

💡 Hint: What do we say when we include something in a set?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a set?

An ordered collection of objects
An unordered collection of objects
A collection of only numbers

💡 Hint: Think about what makes a collection a set.

Question 2

True or False: The empty set and the singleton set containing the empty set are the same.

True
False

💡 Hint: Remember what elements are included in each type of set.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B, A ∩ B, and A - B?

💡 Hint: Use the definitions of union, intersection, and set difference.

Challenge 2 Hard

Provide a proof for the statement: For any set A, the power set P(A) has a cardinality of 2^|A|.

💡 Hint: Consider how new subsets are formed when each element is added.

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