If x is not equal to 0, is |x| less than 1?
(1) x/|x| < x
(2) |x| > x
absolute value DS
This topic has expert replies
-
- Senior | Next Rank: 100 Posts
- Posts: 81
- Joined: Thu Jun 12, 2008 1:57 pm
- Thanked: 1 times
-
- Legendary Member
- Posts: 1153
- Joined: Wed Jun 20, 2007 6:21 am
- Thanked: 146 times
- Followed by:2 members
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.
No rest for the Wicked....
-
- Legendary Member
- Posts: 621
- Joined: Wed Apr 09, 2008 7:13 pm
- Thanked: 33 times
- Followed by:4 members