#### Answer

$3, 5$

#### Work Step by Step

Add 4 to each part of the inequality:
$1+4 \lt 2x-4+4 \le 7+4
\\5 \le 2x \lt 11$
Divide $2$ to each part of the inequality:
$\dfrac{5}{2} \lt \dfrac{2x}{2} \lt \dfrac{11}{2}
\\2.5 \lt x \lt 5.5$
Thus, the elements of $S$ that satisfy the inequality are:
$3, 5$