Solve: `(-1)/(|x|-2) ge 1`.

Explanation

Given, `(-1)/(|x|-2) ge 1`
`implies (-1)/(|x|-2) -1 ge 1'
` implies (-1-(|x|-2))/(|x|-2) ge 0`
`implies (1-|x|)/(|x|-2) ge 0`
`implies (|x|-1)/(|x|-2) le 0`
`implies (y-1)/(y-2) le 0,` where `y=|x|`
`implies 1 le y lt 2`
`implies 1 le |x| lt 2`
`implies x in (-2,-1] cup [1,2)`