Clearly, x≠2, as it will lead equation unmeaningful.
Now, two case arise:
In this case |x–2|=x–2
⇒ x ϵ (2, ∞)….(1)
Case 2: x–2<0
In this case, |x–2|=–(x–2)
Inequality doesn’t get satisfy
∴, this case gets nullified.
We can verify the answers using graph as well.
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