Write the solution set of the inequation .
|2 – x| = x – 2
⇒ |x – 2| = x – 2
We know that mode is always positive or zero. So, x – 2 is also positive or zero.
⇒ x – 2 ≥ 0
⇒ x ≥ 2
So, final answer is x ∈ [2, ∞)