Find all the values of $x \in \mathbb{R}$ that satisfy the inequality \\
$\frac{x}{x-1} \ge \frac{1}{x+2}$.
$\circ x \in (-\infty, -2] \cup [1, \infty)$
$\circ x \in [-2, 1]$
$\circ x \in (-\infty, -2) \cup (1, \infty)$
$\circ x \in (-\infty, -1) \cup (2, \infty)$
$\circ x \in (-1, 2)$
$\circ x \in (-2, 1)$
$\circ x \in (-\infty, -1] \cup [2, \infty)$
$\circ x \in (-\infty, 1) \cup [2, \infty)$
$\circ x \in (1, 2)$
$\circ x \in [-1, 2]$