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, ∞)
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