Answer: \(x\lt -0.8\) or \(0.55\lt x\lt 2.25\).

Start by taking the key information from the graph or diagram, such as intercepts, turning points, amplitudes, periods, or intersection points. Then use the relevant algebra to justify the result.

The inequality \((x+1)(x-1)(x-2)\lt1\) means the part of the graph where \(y\lt1\).

From the graph, the curve meets the line \(y=1\) at approximately

\(x=-0.8,\quad x=0.55,\quad x=2.25.\)

The curve is below \(y=1\) to the left of the first intersection and between the second and third intersections.

Therefore the solution is \(x\lt -0.8\) or \(0.55\lt x\lt2.25\).

The result has been obtained using the exact condition from the question, so no additional solutions are introduced.