Please help to make an expression, with which you could get from the sets A, B, C a set D.
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Andrei
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alex-rudenkiy
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Do you mean set $D$? – Andrei Feb 22 '18 at 15:39
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"Please help to make an expression, with which you could get from the sets A, B, C a set A". -> This is not clear. If you are looking for an expression that gives you $A$, then just use $A$ ... I assume you mean something different ... – Bram28 Feb 22 '18 at 15:39
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3And it is most likely to get what you want if you show what you've tried. – Mehrdad Zandigohar Feb 22 '18 at 15:40
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@Andrei yes it is – alex-rudenkiy Feb 22 '18 at 15:50
1 Answers
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First of all, you must make it clear of the meaning of your 'expression'. Does it mean an expression involving only union and intersection?
A quick answer: $$\left ( A-\left ( B\cup C \right ) \right )\cup \left ( B-\left ( C\cup A \right ) \right ) \cup\left ( C-\left ( A\cup B\right ) \right ) \cup \left ( A\cap B\cap C \right ),$$or equivalently $$A\cup B\cup C -\left ( \left ( A\cap B \right )\cup \left ( B\cap C \right )\cup \left ( C\cap A \right ) - A\cap B\cap C \right )$$
S. D. Z
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