# 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 thanare…, -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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