How can we solve this with the help of Plugging in ?
I took a guess on this question by seeing that combining the inequalities makes them sufficient !
Thank you in advance!
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Any number picking strategy ?
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Neilsheth2
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GMATGuruNY
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Statement 1:Is x < w?
1. x-w < x
2. x+w < w
Subtracting x from both sides, we get:
-w < 0
w > 0.
No information about x.
INSUFFICIENT.
Statement 2:
Subtracting w from both sides, we get:
x < 0.
No information about w.
INSUFFICIENT.
Statements combined:
Since x is NEGATIVE and w is POSITIVE, x<w.
SUFFICIENT.
The correct answer is C.
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Since you requested a number picking strategy:
S1:
Think positive and negatives. We could have x = 5 and w = 3, in which case x > w. We could also have x = -5 and w = 3, in which case w > x.
S2:
We could have w = 5 and x = -2, in which case w > x. We could also have w = -5 and x = -2, in which case x > w.
S1 + S2
x = 5 and w = 3 doesn't work, nor does w = -5 and x = -2. This strongly suggests (which is about as good as we can do with number picking) that w > x is the only possibility.
S1:
Think positive and negatives. We could have x = 5 and w = 3, in which case x > w. We could also have x = -5 and w = 3, in which case w > x.
S2:
We could have w = 5 and x = -2, in which case w > x. We could also have w = -5 and x = -2, in which case x > w.
S1 + S2
x = 5 and w = 3 doesn't work, nor does w = -5 and x = -2. This strongly suggests (which is about as good as we can do with number picking) that w > x is the only possibility.
