Step 1:

The given in equalities

$24 x < 100$

Dividing both sides by positive number 24 we get,

$\large\frac{24x}{24} < \frac{100}{24}$

$x < \large\frac{25}{6}$

Step 2:

The number $1,2,3,$ and $4$ are the only natural number less than $ \large\frac{25}{6}$ The solution set is $ \{1,2,3,4\}$

Step 3:

The integer less than $\large\frac{25}{6}$ are $-4,-3,-2,-1,0,1,2,3,4$

The solution set is $\{.......,-4,-3,-2,-1,0,1,2,3,4,\}$