\[1\frac{2}{7} < \frac{x}{7} < 2\frac{3}{7}\]
\[\frac{9}{7} < \frac{x}{7} < \frac{17}{7}\]
\[9 < x < 17\]
\[x = 10,\ 11,\ 12,\ 13,\ 14,\ 15,\ 16.\ \]