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18 Feb 2011, 11:58
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If x is not equal to 1, is x^2/(x-1) greater than x?
(1) x is not an integer.
(2) x is positive.
(1) x is not an integer.
(2) x is positive.
18 Feb 2011, 12:18
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banksy
217. If x is not equal to 1, is x^2/(x-1) greater than x?
(1) x is not an integer.
(2) x is positive.
(1) x is not an integer.
(2) x is positive.
Is \(\frac{x^2}{x-1}>x\) --> is \(\frac{x^2}{x-1}-x>0\)? --> is \(\frac{x^2-x^2+x}{x-1}>0\) --> is \(\frac{x}{x-1}>0\) --> is \(x<0\) or \(x>1\)?
(1) x is not an integer --> clearly insufficient: for example if \(x=1.5\) the the answer will be YES but if \(x=0.5\) then the answer will be NO.
(2) x is positive. Also not sufficient.
(1)+(2) The values of \(x\) from (1) also satisfy (2) (x can be positive fraction from the range (0,1) or some non integer more than 1) thus even taken together statements are not sufficient.
Answer: E.
10 Apr 2014, 22:43
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Bunuel
banksy
217. If x is not equal to 1, is x^2/(x-1) greater than x?
(1) x is not an integer.
(2) x is positive.
(1) x is not an integer.
(2) x is positive.
Is \(\frac{x^2}{x-1}>x\) --> is \(\frac{x^2}{x-1}-x>0\)? --> is \(\frac{x^2-x^2+x}{x-1}>0\) --> is \(\frac{x}{x-1}>0\) --> is \(x<0\) or \(x>1\)?
(1) x is not an integer --> clearly insufficient: for example if \(x=1.5\) the the answer will be YES but if \(x=0.5\) then the answer will be NO.
(2) x is positive. Also not sufficient.
(1)+(2) The values of \(x\) from (1) also satisfy (2) (x can be positive fraction from the range (0,1) or some non integer more than 1) thus even taken together statements are not sufficient.
Answer: E.
will you explain this step ?
x/x-1 > 0 translating to x>1 or x<0 ?
thanks.
