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If x is not equal to zero, is |x| < 1? 1) x / |x| < x

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If x is not equal to zero, is |x| < 1? 1) x / |x| < x [#permalink]

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New post 27 Jan 2007, 19:26
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A
B
C
D
E

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If x is not equal to zero, is |x| < 1?

1) x / |x| < x


2) |x| > x

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New post 27 Jan 2007, 19:43
Q: 0<|x|<1?
Ans: C?

edited because some of my answer lines were missing
some error...?!

Last edited by Sumithra on 28 Jan 2007, 05:29, edited 1 time in total.

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New post 28 Jan 2007, 02:36
If x is not equal to zero, is |x| < 1?

1) x / |x| <x> x

from one

if x>0 thus x>1, and if x<0 thus x<-1.........not suff

from two

x is -ve ..........insuff

both together
x is a -ve fraction ie: -1<x<0

thus /x/<1

my answer is C

EDITED

Last edited by yezz on 02 Feb 2007, 13:59, edited 1 time in total.

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New post 28 Jan 2007, 07:04
should be E

from (1) it is clearly INSUFF


from (2) |x| > x only if x is -ve. but cannot say that |x|<1>1
ifx=-1/2 |x|<1

INSUFF

from both 1 and 2

it isnt any help.

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New post 28 Jan 2007, 08:44
answer is C.

from st2 you can infer x is negative. now put this info into st1:

since x is negative, divide both sides by x (and invert the inequality) to get

1/|x|>1
or |x|<1 as required....

hence sufficient.

answer is C.

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New post 02 Feb 2007, 13:11
This webboard change my typing. So, I am going to post image.
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Ans01.jpg
Ans01.jpg [ 97.88 KiB | Viewed 676 times ]

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New post 02 Feb 2007, 13:14
My answer is C.

See below the explanation.

This is long tradition process. However, you will be sure when answer the question.
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Ans02.jpg
Ans02.jpg [ 80.15 KiB | Viewed 676 times ]

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  [#permalink] 02 Feb 2007, 13:14
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If x is not equal to zero, is |x| < 1? 1) x / |x| < x

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