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Re: If x ≠ y and x and y are non-zero integers, is (x+y)/(x−y)>0?
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29 Apr 2016, 08:30
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The question basically asks are both x+y and x-y positive or negative?
(1) x > y (2) |x| > |y|
Stmnt 1: x-y> 0 => x-y is positive says nothing about x+y which can either be positive or negative Insufficient
Stmnt 2 \(\sqrt{x^2}>\sqrt{y^2}\) x^2-y^2 > 0 (x+y)(x-y) > 0 so both x+y and x-y can be positive or both x+y and x-y can be negative This means that x+y /x-y will always be positive and greater than 0 Sufficient
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50% (02:02) correct 
