Answer :


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


Now, two case arise:


Case1: x–2>0


x>2


In this case |x–2|=x–2


x ϵ (2, )….(1)


Case 2: x–2<0


x<2


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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