#### Answer

$-5, -1, \sqrt5, 3, 5$

#### Work Step by Step

Since the fractions both have a numerator of $1$, then the fraction $\frac{1}{x}$ will be less than or equal to $\frac{1}{2}$ when $x \ge 2$ or when $x$ is negative.
Thus, the elements of $S$ that satisfy the inequality are:
$-5, -1, \sqrt5, 3, 5$