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

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8 questions

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Exercise
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6 sample questions

Question 1.
Define what it means for two sets to be equal.
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Think about element presence!
Question 2.
What does De Morgan's Law state?
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Remember the complement and the two operations involved!
3Question 3.
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
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Focus on definitions of subsets.
4Question 4.
Do De Morgan's Laws result in equal sets?
- True
- False
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Recall what happens with complements!
Question 5.
Demonstrate that if A = {1, 2, 3} and B = {3, 4, 5}, then show A ∩ (A ∪ B) = A.
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Dissolve both sides to see the content!
Question 6.
Prove that if A ⊆ B and B = C, then A = C.
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Think about how sets relate!

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