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Solve $24x < 100$ when $x$ is a natural number.

A$\{1, 2, 3\}$
B$\{1, 2, 3, 4, 5\}$
C$\{0, 1, 2, 3, 4\}$
D$\{1, 2, 3, 4\}$
Answer & Solution
Correct answer: D. $\{1, 2, 3, 4\}$
$x < 100/24 = 25/6 \approx 4.17$. Naturals less than 4.17: $\{1, 2, 3, 4\}$. Check boundary: $24 \cdot 4 = 96 < 100$ ✓, $24 \cdot 5 = 120 > 100$ ✗.
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