we are given the following inequality:
![6<-3k](https://img.qammunity.org/2023/formulas/mathematics/college/7yyryr2fow2cslho0azs75mqpgvkl99ehp.png)
To solve for "k" we will divide both sides by -3, since we are dividing by a negative number we will change the direction of the inequality sign, we get:
![(6)/(-3)>-(3k)/(-3)](https://img.qammunity.org/2023/formulas/mathematics/college/69dclrk1d4bdlzha9pnpt7l0zj9i9dwr6o.png)
Solving the operations we get:
![-2>k](https://img.qammunity.org/2023/formulas/mathematics/college/9mtjvsfo321iyw7dfzv0xfupwi84616rxp.png)
Therefore, the solution is the numbers that are smaller than negative 2.