Answer
$ f\gt \frac{1}{2}$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 8+10f\gt 14-2f$
Add $2f-8$ to each side.
$\Rightarrow 8+10f+2f-8\gt 14-2f+2f-8$
Simplify.
$\Rightarrow 12f\gt 6$
Divide each side by $12$.
$\Rightarrow \frac{12f}{12}\gt \frac{6}{12}$
Simplify.
$\Rightarrow f\gt \frac{1}{2} $
Hence, the solution is $ f\gt \frac{1}{2}$.
Use an open circle because $ \frac{1}{2}$ is not a solution.
Shade the number line on the right side.
