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If 2 < x < 3 , then ( x − 2 ) 2 = x − 2 while ∣ x − 3 ∣ = − ( x − 3 ) = 3 − x such that we have x − 2 + 3 − x = 1 where the x's actually cancel out each other.
since,2<x<3,i.e,x=[2.1,2.9]. so, sqrt( (x-2)^2 ) = |x-2| = [0.1 , 0.9]
&&
|x-3| = [0.1 , 0.9] or, simply [0.9 , 0.1]
Hence,sum i.e., ? = 1.
Note: sqrt( X^2 ) = |X|.
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