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That is, how to represent set $A$ in terms of D, B, C given the equation above? Or is it possible?

N.B. To represent a set is to define this set, i.e. $A = \cdots$, not $A \subseteq \cdots$.

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    Here is a [diagram](http://i.stack.imgur.com/qgsVv.png) to accompany answers you've been already given. You can see that $D$ (the shaded area) does not depend in any way on elements in $A\cap C\setminus B$. (This is one of the areas in the picture.)2012-11-01

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