ANSWER
All possible solutions are
[tex]k \: > \: 2[/tex]
EXPLANATION
The given inequality is
[tex] - 6k \: < \: - 12[/tex]
Divide both sides by -6 and reverse the inequality sign.
[tex] k \: > \: \frac{ - 12}{ - 6} [/tex]
[tex]k \: > \: 2[/tex]
All real numbers greater than 2.