Q. 225.0( 3 Votes )

Solve each of the

Answer :


Clearly, |x–2|–2≠0


|x–2|≠2


x≠0 and x≠4


Now, 2 case arise:


Case 1:–∞ <x<2


For this, |x–2|=–(x–2)





x ϵ (0,1] …(1)


Case 2: 2<x<∞


For this, |x–2|=x–2




x ϵ [3,4) …(2)


x ϵ (0,1] [3, 4) (from 1 and 2)


We can verify the answers using graph as well.


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