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cramya wrote:Question:
If x+y+z>1 is z > 1
(or)
Is x+y < -1 then we know z > 1
Stmt I
z > x+y+1
z-1 > x+y
Therefore z-1+z > 0 (replace x+y in x+y+z>0 by z-1)
2z>1
z>1/2
INSUFF
Stmt II
x+y < -1
Exactly what we need
SUFF
Choose B
hi - you must be a newcomer to the gmat scene.apple100 wrote:
How did you derive
"If x+y+z>1 is z > 1" from the question?
perfect, thanks!lunarpower wrote:the most routine, and possibly most straightforward, way to answer this question is with the following standard fact about inequalities (note that the "alligator" is the "<" or ">" sign):
you can ADD inequalities if the alligators face the same way.
--
in statement (1), you know that
x + y + z > 0
and
z > x + y + 1
you can just add these together, giving x + y + 2z > x + y + 1. then cancel (i.e., subtract) the x and the y, giving 2z > 1, or z > 1/2. this is insufficient to answer the question of whether z is greater than 1.
--
in statement (2), you know that
x + y + z > 0
and
0 > x + y + 1 (i.e., the second statement, just written the other way so that the alligator is the same as the first one)
you can just add these together, giving x + y + z > x + y + 1. then cancel (i.e., subtract) the x and the y, giving z > 1.
sufficient.
ans (b)
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