Since w appears in both quantities, and since we have practically no information about w, this SMELLS like the correct answer might be D.
As such, let's test some values

case i: Since \(x < 0 < y\), and w ≠ 0, one possible set of values is x = -1, y = 1, and w = 1
We get:
Quantity A: \(-\frac{1}{-1}=-(-1)=1\)

Quantity B: \(\frac{1}{1}=1\)

In this case, the two quantities are equal


case ii: Since \(x < 0 < y\), and w ≠ 0, one possible set of values is x = -1, y = 1, and w = 2
We get:
Quantity A: \(-\frac{2}{-1}=-(-2)=2\)

Quantity B: \(\frac{1}{2}\)

In this case, Quantity A is greater

Answer: D

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