1. If $x$ is an integer, and satisfies the inequality system
$$
\left\{\begin{array}{l}
x-1>0, \\
2 x-1<4,
\end{array}\right.
$$

then $x=$ $\qquad$
$$
=, 1.2 \text {. }
$$

From the given, we know that $1<x<\frac{5}{2}$. Therefore, the integer $x=2$.