DS inequality problem

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daniyatom: Senior | Next Rank: 100 Posts; Posts: 51; Joined: Mon May 19, 2008 11:43 am; Location: Falls Church, VA

by daniyatom » Sun Aug 03, 2008 1:22 pm

Is m+z > 0

(1) m- 3z > 0
(2) 4z - m > 0

Please help ppl

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Source: Beat The GMAT — Problem Solving | Sun Aug 03, 2008 1:22 pm

spanlength: Junior | Next Rank: 30 Posts; Posts: 18; Joined: Sat Mar 15, 2008 10:54 pm

by spanlength » Mon Aug 04, 2008 5:29 am

adding the 2 inequalities we have
m- 3z + 4z - m > 0
hence z > 0 . So now we have to rove that m is either +ve or a -ve no less than z.
from the 1 st inequalitiy we have : Let m is -ve then (-m ) - (3z ) can never be greater than zero.

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