Let $W \subset \mathbb{R}^n$ be a linear subspace of dimension at most $n-1$. Which of the following statement(s) is/are true?\\
(A) $W$ is nowhere dense.\\
(B) $W$ is closed.\\
(C) $\mathbb{R}^n \backslash W$ is connected.\\
(D) $\mathbb{R}^n \backslash W$ is not connected.