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by MBA.Aspirant » Fri Jul 22, 2011 5:36 am
If x/||x||< x , which of the following must be true about x , (x is not 0)

(A)|x|=1
(B)|x|<1
(C)x>2
(D)x>-1
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by Anurag@Gurome » Fri Jul 22, 2011 5:42 am
MBA.Aspirant wrote:If x/||x||< x , which of the following must be true about x , (x is not 0)

(A)|x|=1
(B)|x|<1
(C)x>2
(D)x>-1
If x is positive, x/||x|| < x ----> x/x < x ----> x > 1
If x is negative, x/||x|| < x ----> x/(-x) < x ----> x > -1

Thus we see that if x satisfies the given condition then x > 1 if x is positive and x > -1 if x is negative. In any of the cases x is greater than -1.

The correct answer is D.
Last edited by Anurag@Gurome on Fri Jul 22, 2011 6:09 am, edited 1 time in total.
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by abhi0697 » Fri Jul 22, 2011 6:00 am
x>1 and x>-1 => In both cases, x>1

So IMO it should be C where it says x>2.
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by Anurag@Gurome » Fri Jul 22, 2011 6:14 am
abhi0697 wrote:x>1 and x>-1 => In both cases, x>1

So IMO it should be C where it says x>2.
Hi,

The problem says if x satisfies the condition then which of the options must be true about x. Note that x = -0.5 satisfies the given condition, but according to your solution x = -0.5 is not greater than 2.[/b]
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