Answer
$ k\lt -5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -1.2k \gt 6$
Divide each side by $-1.2$. Reverse the inequality symbol.
$\Rightarrow \frac{-1.2k}{-1.2}\lt \frac{6}{-1.2k}$
Simplify.
$\Rightarrow k\lt -5$
Hence, the solution is $ k\lt -5$.
Use an open circle because $-5$ is not a solution.
Shade the number line on the left side.