Given inequality is 24x < 100
Dividing both sides by 24, we get x <

100

24

=

25

6

This inequality is true when
(i) x is a natural number, {1, 2, 3, 4} satisfies this inequality .
(ii) x is an integer, {...., –4, –3, – 2, –1, 0, 1, 2, 3, 4} satisfies this inequality.