Practice Set Identities (15.8) - Sets - Discrete Mathematics - Vol 1
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Set Identities

Practice - Set Identities

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the cardinality of the set {3, 1, 2}?

💡 Hint: Count the elements in the set.

Question 2 Easy

Is {x} a singleton set?

💡 Hint: Think about the definition of a singleton set.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does A ∩ B represent?

Elements in A only
Elements in B only
Elements common to both A and B

💡 Hint: Look for common elements in both sets.

Question 2

True or False: The power set of {1, 2} contains 4 elements.

True
False

💡 Hint: Consider the subsets of a 2-element set.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given sets A = {1, 2, 3}, B = {3, 4, 5}, and C = {1, 4}, prove that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).

💡 Hint: Think about the distributive property of sets.

Challenge 2 Hard

Construct the power set of the set D = {a, b}. List all subsets and explain.

💡 Hint: Consider how many subsets you can form from 2 elements.

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Reference links

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