Answer :

Clearly, x≠2, as it will lead equation unmeaningful.

Now, two case arise:

Case1: x–2>0


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.

(from 1)

We can verify the answers using graph as well.

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