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Note for Venn Diagrams - VD By Placement Factory

  • Venn Diagrams - VD
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Note for Venn Diagrams - VD By Placement Factory

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Venn Diagrams We can visual subsets of a universal set, and how they interact/overlap, using Venn diagrams, as shown below. On the left, the brown shaded region is A ∩ B. It is also (A0 ∪ B 0 )0 . On the right, the shaded area is A ∩ B.

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Venn Diagrams Some more examples:

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Venn Diagrams

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Compute the elements of various subsets Example If A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6} are subsets of the universal set U = {1, 2, 3, . . . , 10}, list the elements of the set A0 ∪ (B ∩ C). A0 = {5, 6, 7, 8, 9, 10}, B ∩ C = {4, 6} so A0 ∪ (B ∩ C) = {4, 5, 6, 7, 8, 9, 10}.

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