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Inequalities

Expert replies
Source: — Data Sufficiency |

by ajith » Fri Feb 12, 2010 6:21 am
mgmt_gmat wrote:Is ¦x - y¦>¦x - z¦?
(1) ¦y¦>¦z¦
(2) x < 0

Explain.
1) |y| > |z|; say x= 10 y =10 ; z= -9 then ¦x - y¦<¦x - z¦; say x= 10 y =-10 ; z= 9 then ¦x - y¦>¦x - z¦
Insufficient
2) Insufficient we do not know the values of y and z

Combining also
say x= -10 y =10 ; z= -9 then ¦x - y¦>¦x - z¦; say x= -10 y =-10 ; z= 9 then ¦x - y¦<¦x - z¦
Insufficient
[spoiler]
E[/spoiler]
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