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Question 3  On arc-consistency:  \beginquote \begin{quote}  \(X_{i}\) is arc-consistent with respect to another variable \(X_{j}\) if for every value in the current domain \(D_{i}\) there is some value in the domain \(D_{j}\) that satisfies the binary constraint on the arc (\(X_{i}, X_{j}\))  \endquote \end{quote}