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by danjuma » Mon Nov 29, 2010 10:52 am
If w + x < 0 is w-y > 0?

1. x+ y < 0

2. y< x<w

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by clock60 » Mon Nov 29, 2010 11:54 am
got B here, my rationale
w+x<0, is w>y
(1) x=-2, w=1, -2+1=-1<0,
x+y<0, let it be
x=-2, w=1, y=0,5, -2+0,5=-1,5<0, and w>y (1>0,5) yes
x=-2, w=1, y=1,5, -2+1,5=-0,5<0 but w<y (1<1,5) no
insuff
(2) directly says that y<w, hope i did not miss any trap

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by Laura GMAT Tutor » Mon Nov 29, 2010 11:56 am
Again, some translations are useful here.

w + x < 0 just means that one or the other (or both) is/are negative.
w-y>0 means w>y.

So we can say, "If one or both of w and x is/are negative, is w greater than y?"

(1) x+y<0 just means that one or the other (or both) of x and y is/are negative. So is w greater than y? Well.. who knows? It's possible that all of them, x y and w, are all negative. Or it's possible that one or more is/are positive. But we can't tell which one or ones is/are positive, which are negative, and which is greater than which. Insufficient.

(2) y < x < w is a lot more interesting. Let's rewrite it -- I'm not changing it, just writing it differently: w> x >y.
If w > x > y, then is w greater than y? Absolutely yes. Sufficient.

Really, I love these translations.... Memorize 'em! :)
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