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Math Help - Venn Diagram

  1. #1
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    Right then who can do this tuff cookie (1)

    1. By drawing a Venn Diagrams with three overlapping circles show that generally (AUB)nC not equal to AU(BnC)

    What are the conditions on A, B and C for (AUB)nC equal to AU(BnC)

    If A = {irrationals}, B = {integers} and C {reals} does the equality from above hold in this case? Draw a Venn Diagram showing the relationships between A, B and C?
    Last edited by alexis; October 22nd 2005 at 04:32 AM.
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  2. #2
    hpe
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    Quote Originally Posted by alexis
    1. By drawing a Venn Diagrams with three overlapping circles show that generally (AUB)nC not equal to AU(BnC)

    What are the conditions on A, B and C for (AUB)nC equal to AU(BnC)

    If A = {irrationals}, B = {integers} and C {reals} does the equality from above hold in this case? Draw a Venn Diagram showing the relationships between A, B and C?
    Since  (A \cup B) \cap C = (A \cap C) \cup (B \cap C), the condition is that  A = A \cap C or equivalently  A \subset C . In the case described by you, the condition is true.
    Last edited by MathGuru; November 10th 2005 at 01:19 PM.
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