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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

huh? Is the riddle complete?

2. lgbasallote

indeed

3. UnkleRhaukus

?

4. rajathsbhat

|dw:1351174228233:dw|Soo that's \(A - (A \cap B \cap C)\) right? :\

5. lgbasallote

hmm... i don't think so...is it?

6. lgbasallote

how can \[A - (B \cap C) = A - (A \cap B \cap C)\] doesn't sound right....

7. rajathsbhat

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

oh it does

9. lgbasallote

and it involves a lot of thinking and set theory

10. rajathsbhat

o.o i see..

11. UnkleRhaukus

hint?

12. lgbasallote

set difference

13. rajathsbhat

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

not really...no

15. lgbasallote

i don't even know what your drawings mean....

16. rajathsbhat

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

whoever said anything about subsets?

18. rajathsbhat

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

*your

20. lgbasallote

not really...note that i said sets

21. lgbasallote

i never said anything about subsets

22. lgbasallote

so you can't assume

23. rajathsbhat

\(-_-)/ i give up.

24. lgbasallote

you actually just use the formula for set difference \[A - B \implies A \cap B'\]

25. rajathsbhat

So it's a null set?

26. rajathsbhat

I'm sorry I don't know :\

27. UnkleRhaukus

\[A \cap (B \cap C)' \]

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