Unformatted text preview: (A∩B)′ = (region 2)′ = {x  x ∈ U and x ∉ region 2} = regions 1, 3, 4 A′ ∪ B′ = {x  x ∈ U and x ∉ A} ∪ {x  x ∈ U and x ∉ B} = (regions 3, 4) ∪ (regions 1, 4) = regions 1, 3, 4 So (A∩B)′ = A′ ∪ B′ , as they both correspond to regions 1, 3, and 4....
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 Fall '10
 Beaulieu
 Math, Sets, Probability, Worksheet Venn Diagrams

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