Practice Proving Set Identities (15.9) - Sets - Discrete Mathematics - Vol 1
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Proving Set Identities

Practice - Proving Set Identities

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what it means for two sets to be equal.

💡 Hint: Think about element presence!

Question 2 Easy

What does De Morgan's Law state?

💡 Hint: Remember the complement and the two operations involved!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

Which of the following statements about sets is true?

A = B if A ⊆ B and B ⊆ A
A = B if A ∩ B is non-empty
A = B if A ∪ B = A

💡 Hint: Focus on definitions of subsets.

Question 2

Do De Morgan's Laws result in equal sets?

True
False

💡 Hint: Recall what happens with complements!

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate that if A = {1, 2, 3} and B = {3, 4, 5}, then show A ∩ (A ∪ B) = A.

💡 Hint: Dissolve both sides to see the content!

Challenge 2 Hard

Prove that if A ⊆ B and B = C, then A = C.

💡 Hint: Think about how sets relate!

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Reference links

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