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# If x is not equal to 1, is x^2/(x-1) greater than x? (1) x

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If x is not equal to 1, is x^2/(x-1) greater than x? (1) x [#permalink]  18 Feb 2011, 11:58
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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.
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Re: 217. If x is not equal to 1, is greater than x? (1) x is [#permalink]  18 Feb 2011, 12:18
banksy wrote:
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.

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.

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Re: 217. If x is not equal to 1, is greater than x? (1) x is   [#permalink] 18 Feb 2011, 12:18
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