Solve `abs(x-1) gt 1` and represent the solution on the number line.

Explanation

`abs(x-1) gt 1`
`rArr -1 gt x-1 gt 1`
`rArr 0 gt x gt 2`
`rArr x lt 0` and `x gt 2`
`therefore` The solution set is
S = {x:x `in` R, x `lt`0 and x `gt` 2}
= `(-infty, 0) cup (2, infty)`
we can show this solution in number line as