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lgbasallote

  • 3 years ago

LGBARIDDLE Let A, B and C be sets. Thus, \(A - (B \cap C) = ?\)

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  1. rajathsbhat
    • 3 years ago
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    huh? Is the riddle complete?

  2. lgbasallote
    • 3 years ago
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    indeed

  3. UnkleRhaukus
    • 3 years ago
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    ?

  4. rajathsbhat
    • 3 years ago
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    |dw:1351174228233:dw|Soo that's \(A - (A \cap B \cap C)\) right? :\

  5. lgbasallote
    • 3 years ago
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    hmm... i don't think so...is it?

  6. lgbasallote
    • 3 years ago
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    how can \[A - (B \cap C) = A - (A \cap B \cap C)\] doesn't sound right....

  7. rajathsbhat
    • 3 years ago
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    A part of \(B \cap C\) is not in A. So I don't know if that's right. I'm not even sure if the question even has an answer...

  8. lgbasallote
    • 3 years ago
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    oh it does

  9. lgbasallote
    • 3 years ago
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    and it involves a lot of thinking and set theory

  10. rajathsbhat
    • 3 years ago
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    o.o i see..

  11. UnkleRhaukus
    • 3 years ago
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    hint?

  12. lgbasallote
    • 3 years ago
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    set difference

  13. rajathsbhat
    • 3 years ago
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    wow there aren't too many details & i'm just thinking about all the possibilities... :/|dw:1351175508673:dw||dw:1351175580930:dw| And it goes on & on & on. The answer can be anything....can't it?

  14. lgbasallote
    • 3 years ago
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    not really...no

  15. lgbasallote
    • 3 years ago
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    i don't even know what your drawings mean....

  16. rajathsbhat
    • 3 years ago
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    They are Venn diagrams...the first one showing B as a subset of A & C only sharing a small part with B and A (B intersection C). The second one is one example(possibility) where B & C are subsets of A....

  17. lgbasallote
    • 3 years ago
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    whoever said anything about subsets?

  18. rajathsbhat
    • 3 years ago
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    That's what I'm trying to say. you're question doesn't say anything about what kind of sets A B & C are..so I have to consider all thhe possibilities.

  19. rajathsbhat
    • 3 years ago
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    *your

  20. lgbasallote
    • 3 years ago
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    not really...note that i said sets

  21. lgbasallote
    • 3 years ago
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    i never said anything about subsets

  22. lgbasallote
    • 3 years ago
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    so you can't assume

  23. rajathsbhat
    • 3 years ago
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    \(-_-)/ i give up.

  24. lgbasallote
    • 3 years ago
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    you actually just use the formula for set difference \[A - B \implies A \cap B'\]

  25. rajathsbhat
    • 3 years ago
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    So it's a null set?

  26. rajathsbhat
    • 3 years ago
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    I'm sorry I don't know :\

  27. UnkleRhaukus
    • 3 years ago
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    \[A \cap (B \cap C)' \]

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