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If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

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Director
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If x is not equal to 0, is |x| less than 1? (1) x/|x| < x [#permalink]

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30 Apr 2006, 12:00
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If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

have fun!
Manager
Joined: 23 Jan 2006
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30 Apr 2006, 12:24
um.
A?

x/|x| < x is equal to x/x < |x|
since x/x = 1...
1<|x|
Senior Manager
Joined: 05 Jan 2006
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30 Apr 2006, 12:32
I would select C

2) |x|>x => x is negative... not sufficient

1) x/|x|<x =>
x<x|x|

for any x >1 ->true (2<4)
for 0<x<1 ->false (1/2>1/4)
for 0<x<-1->true (-1/2 <-1/4)
for x<-1 ->false (-2 > -4)

so not sufficient

1+2 means x is negative and x is between 0 to -1 so sufficient
VP
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30 Apr 2006, 17:52
Yeah its C...

Substituting numbers I go the range -1<x<0 to be valid when I and II are taken together!
Manager
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30 Apr 2006, 18:38
what is the OA

chiragr your explanation is good
anybody can explain why we can't cross multiply like kook44 did?
VP
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30 Apr 2006, 19:01
dinesh8 wrote:
what is the OA

chiragr your explanation is good
anybody can explain why we can't cross multiply like kook44 did?

Since we do no know the sign of x.
Director
Joined: 04 Jan 2006
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30 Apr 2006, 20:30
OA is C....

Good job guys!
30 Apr 2006, 20:30
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If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

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