Solve for \( m \). \begin{tabular}{|l|l|l|l|}\hline \( 13-2 m>1 \) \\ \( \gg \) & \( < \) & \( \geq \) & \( \leq \) \\ \hline\end{tabular}

1. Start with the inequality: \[ 13 - 2m > 1. \] 2. Subtract \(13\) from both sides: \[ 13 - 2m - 13 > 1 - 13 \quad \Rightarrow \quad -2m > -12. \] 3. Divide both sides by \(-2\). Remember to reverse the inequality sign when dividing by a negative number: \[ m < \frac{-12}{-2} \quad \Rightarrow \quad m < 6. \] The solution for \(m\) is: \[ m < 6. \]