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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
have fun! :wink:
(1) x/|x| x
have fun! :wink:
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30 Apr 2006, 13:32
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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
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
