\(\hept{\begin{cases}\frac{x}{24}< \frac{2}{3}\\\frac{x}{24}>\frac{7}{12}\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{x}{24}-\frac{2}{3}< 0\\\frac{x}{24}-\frac{7}{12}>0\end{cases}}\Leftrightarrow\hept{\begin{cases}\frac{x}{24}-\frac{16}{24}< 0\\\frac{x}{24}-\frac{14}{24}>0\end{cases}}\)
\(\hept{\begin{cases}\frac{x-16}{24}< 0\\\frac{x-14}{24}>0\end{cases}}\Leftrightarrow\hept{\begin{cases}x-16< 0\\x-14>0\end{cases}}\Leftrightarrow\hept{\begin{cases}x< 16\\x>14\end{cases}}\)
\(\Leftrightarrow14< x< 16\)
mà \(x\in N\)nên \(x=15\)
vậy \(x=15\)
\(\frac{7}{12}< \frac{x}{24}< \frac{2}{3}\)
\(\frac{14}{24}< \frac{x}{24}< \frac{16}{24}\)
suy ra : 14 < x < 16
nên x = 15
Vậy x = 15
