Solve 24x < 100, when:
(i) x is a natural number.
(ii) x is an integer.
It is given in the question that,
24x < 100
Dividing the inequality by 24 on both sides we get,
(i) When x is a natural integer.
It can be clearly observed that the only natural number less than 
are 1, 2, 3, 4
Thus, 1, 2, 3, 4 will be the solution of the given inequality when x is a natural number.
∴ Here, {1, 2, 3, 4} is the solution set.
(ii) When x is an integer
It can be clearly observed that the integer number less than
are…, -1, 0, 1, 2, 3, 4.
Thus, solution of 24x<100 are…,-1, 0, 1, 2, 3, 4, when x is an integer.
∴ {…, -1, 0, 1, 2, 3, 4} is the solution set.
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