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# Value of M + Z

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Manager
Joined: 21 Feb 2009
Posts: 104
Value of M + Z [#permalink]

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27 Jul 2009, 14:14
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Senior Manager
Joined: 18 Jun 2009
Posts: 351
Location: San Francisco
Re: Value of M + Z [#permalink]

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27 Jul 2009, 14:49
If you plug in values for Stm1 and Stm2 then we see that both alone is insuff

combine and we get 3z<m<4z

In the above case 3z<4z can happen only when z is positive.

Since M is greater and 3z then M is positive

therefore m+z > 0

Senior Manager
Joined: 17 Jul 2009
Posts: 281
Concentration: Nonprofit, Strategy
GPA: 3.42
WE: Engineering (Computer Hardware)
Re: Value of M + Z [#permalink]

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27 Jul 2009, 15:43
m-3z > 0
4z - m > 0
neither can prove anything alone

however, adding these two, we have:
m - 3z + 4z - m > 0
z > 0

if z > 0, m - 3z > 0, thus m > 3z -> m > 0.

so C.
Manager
Joined: 21 Jun 2009
Posts: 140
Re: Value of M + Z [#permalink]

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27 Jul 2009, 16:10
Good question and good explaination. Thanks.
Re: Value of M + Z   [#permalink] 27 Jul 2009, 16:10
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