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Math Help - Venn Diagram

  1. #1
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    Venn Diagram

    (A U B) U Cc what will be its venn diagram?????
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  2. #2
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    Quote Originally Posted by adnan1983 View Post
    (A U B) U Cc what will be its venn diagram?????
    Since it's all UNION, you could literally add/shade the 3 areas (A, B, compliment of C).
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  3. #3
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    Hello, adnan1983!

    A \cup B \cup C\:\!'

    What will be its Venn diagram?

    Let: . S \;=\;A \cup B \cup C\:\!'

    Take the complement of both sides: . S\:\!' \;=\;\bigg[A \cup B \cup C\:\!'\bigg]\:\!'

    . . DeMorgan's Law gives us: . S\:\!' \;=\;A' \cap B\:\!' \cap C


    We have: . S-complement is the region not in A, not in B, and in C.
    . . That is, that region which is in C only. .(Visualize that region.)

    Then S is everything but that region.

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