Question

$|x| \ge 1$

Answer 1

$x \in (-\infty, -1] \cup [1, \infty)$

Answer 2

The inequality $|x| \ge 1$ means that the value of $x$ must be at least 1 unit away from zero. This occurs when $x$ is greater than or equal to 1, or when $x$ is less than or equal to -1. Thus, the solution is $x \le -1$ or $x \ge 1$, which in interval notation is $(-\infty, -1] \cup [1, \infty)$.