Separating disjoint finite subsets in a Hausdorff space

Show that if \(X\) is a Hausdorff space and \(A,B\subseteq X\) are disjoint finite subsets of \(X\), then there are disjoint open sets \(U,V\) in \(X\) with \(A\subseteq U\) and \(B\subseteq V\).