Solve for x.

First. write this scenario into an inequality:

x/-6 > 3

Now multiply both sides by -6.

x < 3 * -6

(The inequality symbol is flipped because you are dividing by a negative number).

x < -18, so it would be the third choice.

To check, you can plug in a number less than -18 for x, such as -19.

$${\mathtt{\,-\,}}{\frac{{\mathtt{19}}}{-{\mathtt{6}}}} = {\frac{{\mathtt{19}}}{{\mathtt{6}}}} = {\mathtt{3.166\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

3.16666... is greater than 3, so the answer is correct.