A lumber company producing 13-inch boards can only sell ones cut between \(12 \frac{15}{16}\) and \(13 \frac{1}{16}\). If it sells a board that is x inches long, which of the following describes all possible values ofx?
(A)\(|x - 13| = \frac{1}{16}\) (B)\(|x + 13| = \frac{1}{16}\) (C)\(|x - 13| > \frac{1}{16}\) (D)\(|x + 13| < \frac{1}{16}\) (E)\(|x - 13| < \frac{1}{16}\)
E