What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
\(\frac{1}{4}<\frac{x}{7}<\frac{1}{3}\)
Multiply through by 7
7/4 < x < 7/3
1 3/4 < x < 2 1/3
The integer that satisfies this is x = 2
