lgbasallote
LGBARIDDLE
Let A, B and C be sets. Thus, \(A - (B \cap C) = ?\)
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rajathsbhat
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huh? Is the riddle complete?
lgbasallote
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indeed
UnkleRhaukus
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?
rajathsbhat
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|dw:1351174228233:dw|Soo that's \(A - (A \cap B \cap C)\) right? :\
lgbasallote
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hmm... i don't think so...is it?
lgbasallote
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how can \[A - (B \cap C) = A - (A \cap B \cap C)\]
doesn't sound right....
rajathsbhat
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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...
lgbasallote
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oh it does
lgbasallote
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and it involves a lot of thinking and set theory
rajathsbhat
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o.o i see..
UnkleRhaukus
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hint?
lgbasallote
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set difference
rajathsbhat
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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?
lgbasallote
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not really...no
lgbasallote
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i don't even know what your drawings mean....
rajathsbhat
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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....
lgbasallote
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whoever said anything about subsets?
rajathsbhat
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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.
rajathsbhat
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*your
lgbasallote
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not really...note that i said sets
lgbasallote
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i never said anything about subsets
lgbasallote
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so you can't assume
rajathsbhat
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\(-_-)/ i give up.
lgbasallote
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you actually just use the formula for set difference \[A - B \implies A \cap B'\]
rajathsbhat
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So it's a null set?
rajathsbhat
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I'm sorry I don't know :\
UnkleRhaukus
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\[A \cap (B \cap C)' \]