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This is the set of all elements which are both elements of \(A\) and not elements of \(B\text{.}\) What have we done? We've started with \(A\) and removed all of the elements which were in \(B\text{.}\) Another way to write this is the set difference:

\begin{equation*} A \cap \bar B = A \setminus B\text{.} \end{equation*}

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