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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
Joined: 04 Jan 2006
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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, 13:00
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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
Posts: 192
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30 Apr 2006, 13:24
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, 13:32
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
Joined: 29 Apr 2003
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30 Apr 2006, 18:52
Yeah its C...

Substituting numbers I go the range -1<x<0 to be valid when I and II are taken together!
Manager
Joined: 17 Jan 2006
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30 Apr 2006, 19:38
what is the OA

anybody can explain why we can't cross multiply like kook44 did?
VP
Joined: 28 Mar 2006
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30 Apr 2006, 20:01
dinesh8 wrote:
what is the OA

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, 21:30
OA is C....

Good job guys!
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