For how many integers $x$ do we have $\frac14 < \frac{x}{5} < \frac23$?
\($\frac14 < \frac{x}{5} < \frac23$\)
1/4 < x / 5 and x / 5 < 2/3
5/4 < x x < 10/3
So.....the possible integer values for x are 2 , 3
