Answer
$ s\gt -\frac{1}{10}$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -4s\lt 6s+1 $
Add $4s-1$ to each side.
$\Rightarrow -4s+4s-1\lt 6s+1+4s-1 $
Simplify.
$\Rightarrow -1\lt 10s $
Divide each side by $10$.
$\Rightarrow -\frac{1}{10}\lt \frac{10s}{10}$
Simplify.
$\Rightarrow -\frac{1}{10}\lt s$
Hence, the solution is $ s\gt -\frac{1}{10}$.
Use an open circle because $-\frac{1}{10}$ is not a solution.
Shade the number line on the right side.
