AHSME 1962 Problem 33

The set of $x$-values satisfying the inequality $2 \leq |x-1| \leq 5$ is: $\textbf{(A)}\ -4\leq x\leq-1\text{ or }3\leq x\leq 6$ $\textbf{(B)}\ 3\leq x\leq 6\text{ or }-6\leq x\leq-3 \textbf{(C)}\ x\leq-1\text{ or }x\geq 3$ $\textbf{(D)}\ -1\leq x\leq 3 \textbf{(E)}\ -4\leq x\leq 6$