m+z

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 345
Joined: Wed Mar 18, 2009 6:53 pm
Location: Sao Paulo-Brazil
Thanked: 12 times
GMAT Score:660

m+z

by shibal » Thu Jul 09, 2009 12:54 pm
is m+z>0?
a. m-3z>0
b. 4z-m>0

oa c
Source: — Data Sufficiency |

Master | Next Rank: 500 Posts
Posts: 322
Joined: Fri Mar 27, 2009 3:56 pm
Thanked: 24 times
GMAT Score:710

by mike22629 » Fri Jul 10, 2009 4:26 am
A.) m > 3z

z could be negative and bigger than m
Ins.

B.) 4z > m

m could be negative and bigger than z
Ins.

Together:

Add inequalities:

m - 3z > 0
+(4z - m) > 0

z > 0

Since statement A says that m > 3z, we know that m must be positive as well. If they are both positive, then m + z > 0 MUST be true

C.

P.S. You can only add inequalities together. DO NOT SUBTRACT THEM!