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If ab≠0, Is [( a - b )/( a^-1 - b^-1)]^-1> (a+b)

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If ab≠0, is \frac{[ ( a - b )}{( a^{-1} - b^{-1})]}^{-1}> (a+b)

(1) |a| > |b|

(2) a < b

What is the answer and fast way to solve ?

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