Step 1:

The given in equalities

$-12 x > 30$

Dividing both sides by negative number $-12$

=> $ \large\frac{-12 x}{-12} < \frac{30}{-12}$

=> $ x < \large\frac{-5}{2}$

Step 2:

There is no natural number less than $\large\frac{-5}{2}$

Step 3:

The integer less than $ \large\frac{-5}{2}$ are $.....-5,-4,-3$

The solution set is $ \{ ........,-5,-4,-3\}$