If `x lt 2`, then find the values of `x^(2)` graphically.

Explanation

In such cases, generally students square both sides and get the answer `x^(2) lt 4`, which is wrong.
In such cases, we can take help of the graph of `y=x^(2)`.

From the graph when `x=2, x^(2)=4`.
For `0 gt x gt 2`, the values of `x^(2)` reduce form 4 to 0 and for `xgt 0`, the value of `x^(2)` increase from 0 to `oo` (infinity).
Thus, we must consider the portion of the graph which is for `x gt 2`, in which `x^(2) le 0 or x^(2) in [0, oo)`.