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nikhilagrawal
- Senior | Next Rank: 100 Posts
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IMO D.
1) x/lxl < x
x < x*lxl
1 < lxl. hence sufficient.
2) lxl > x
only possible if x<0. hence sufficient.
Thanks!
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Source: Beat The GMAT — Data Sufficiency |
nikhilagrawal wrote:If x is not equal to 0, is |x| less than 1?
(1) x/|x| < x
(2) |x| > x
Statement I
x/lxl < x
x < x*lxl
if x is positive, lxl > 1
if x is negative, lxl < 1, since x is negative 0 > x > -1
Insufficient.
Statement II
|x| > x
this simply implies that x is negative, therefore, lxl can be greater 1 or lxl can be less than 1
Insufficient.
Combining I & II
|x| > x
x< x*lxl
this means 0 > x > -1, therefore, lxl will always be less than 1.
Sufficient.
Hence C.
Hope this helps.
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