$\begin{array} { l }2x-4 < 3x+1,\\2x-4 > x-13\end{array}$
Solve the inequality for $x$$\begin{array} { l }x > -5,\\2x-4 > x-13\end{array}$
Solve the inequality for $x$$\begin{array} { l }x > -5,\\x > -9\end{array}$
Find the intersection$\begin{align*}&x \in \langle-5, +\infty\rangle \\&\begin{array} { l }x > -5\end{array}\end{align*}$