Answer
Interval: $(-\infty,\ -2]\ \cup\ [2,\ \infty)$
Work Step by Step
$\displaystyle \frac{1}{2}|x|\geq 1$
$|x|\geq 2$
We split this into the positive and negative:
$x\geq 2$ or $x\leq-2$
Interval: $(-\infty,\ -2]\ \cup\ [2,\ \infty)$
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