Solve for 'x' :
`1 lt abs(x-2)lt3`

Explanation

`1 lt abs(x-2)lt3`
`implies -3 lt x-2 lt -1` or `1ltx-2lt3`
`implies-1 lt x lt1` or `3ltx lt 5`
`implies x in (-1,1) cup(3,5)`