#### Answer

The solution is $m\gt -5 $.
The graph is shown below.

#### Work Step by Step

The given inequality is
$\Rightarrow 2m-1\geq 5$ or $5m \gt -25$
Solve the first inequality.
$\Rightarrow 2m-1\geq 5$
Add $1$ to each side.
$\Rightarrow 2m-1+1\geq 5+1$
Simplify.
$\Rightarrow 2m\geq 6$
Divide each side by $2$.
$\Rightarrow \frac{2m}{2}\geq \frac{6}{2}$
Simplify.
$\Rightarrow m\geq 3$
Solve the second inequality.
$\Rightarrow 5m\gt -25$
Divide each side by $5$.
$\Rightarrow \frac{5m}{5}\gt \frac{-25}{5}$
Simplify.
$\Rightarrow m\gt -5$
Merge the overlap solution
Hence, the solution is $m\gt -5 $.