Answer
$\sqrt5, 5$
Work Step by Step
Subtract 3 to each part of the inequality:
$-2-3 \le 3-x-3 \lt 2-3
\\-5 \le -x \lt -1$
Multiply $-1$ to each part of the inequality. Note that since a negative number is being multiplied to each part of the inequality, the inequality symbol will change direction.
$-5(-1) \ge -1(-x) \gt -1(-1)
\\5 \ge x \gt 1
\\1 \lt x \le 5$
Thus, the elements of $S$ that satisfy the inequality are:
$\sqrt5, 5$