Solve: 24x < 100, when x is a natural number. - Vidyadip

Question

Solve: 24x < 100, when x is a natural number.

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Answer

We have 24x < 100
$\Rightarrow \quad \frac{24 x}{24}<\frac{100}{24}$ [dividing both sides by 24]
$\Rightarrow \quad x<\frac{25}{6}$
When x is a natural number, then solutions of the inequality are given by $x<\frac{25}{6}$ i.e., all natural numbers x which are less than $\frac{25}{6}.$
Hence, the solution set is {1, 2, 3, 4}

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