(A) The given inequality is $24x < 100$. Divide both sides by $24$: $x < \frac{100}{24}$ $x < \frac{25}{6}$ $x < 4.166...$ Since $x$ is a natural numb

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(A) The given inequality is $24x Divide both sides by $24$: $x $x $x Since $x$ is a natural number,the values of $x$ must be positive integers less than $4.166...$. Thus,the possible values for $x$ are $1, 2, 3,$ and $4$. Therefore,the solution set is $\{1, 2, 3, 4\}$.