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  • 08-01-2024
  • Mathematics
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Show A ∪ Bᶜ = Aᶜ ∩ Bᶜ by demonstrating inclusion both ways.

a) A ∪ Bᶜ ⊆ Aᶜ ∩ Bᶜ and Aᶜ ∩ Bᶜ ⊆ A ∪ Bᶜ
b) A ∪ Bᶜ = Aᶜ ∩ Bᶜ
c) A ∪ Bᶜ ⊇ Aᶜ ∩ Bᶜ and Aᶜ ∩ Bᶜ ⊇ A ∪ Bᶜ
d) A ∪ Bᶜ ⊂ Aᶜ ∩ Bᶜ and Aᶜ ∩ Bᶜ ⊂ A ∪ Bᶜ

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