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 $\{.......,-4,-3,-2,-1,0,1,2,3,4,\}$