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The operator \(@\) is defined by the following expression: \(a@b=\left|\dfrac{a+1}{a}\right|-\dfrac{b+1}{b}\) where

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The operator \(@\) is defined by the following expression: \(a@b=\left|\dfrac{a+1}{a}\right|-\dfrac{b+1}{b}\) where

by M7MBA » Sun Aug 15, 2021 3:13 pm

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The operator \(@\) is defined by the following expression: \(a@b=\left|\dfrac{a+1}{a}\right|-\dfrac{b+1}{b}\) where \(ab\ne 0.\) What is the sum of the solutions to the equation \(x@2=\dfrac{x@(-1)}2?\)

A. -1

B. -0.75

C. -0.25

D. 0.25

E. 0.75

Answer: D

Source: Manhattan GMAT
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