Bunuel wrote:
If 3x < 2y < 0, which of the following must be the greatest?
A. 2y - 3x
B. 3x - 2y
C. -(3x - 2y)
D. -(3x + 2y)
E. 0
Kudos for a correct solution.
We notice that -(3x - 2y) = -3x + 2y = 2y - 3x; i.e. the expression in answer choice A is equivalent to the expression in answer choice C. Therefore, neither A nor C can be the correct answer, and we eliminate both.
Next, notice that 3x - 2y is negative (since 3x < 2y); therefore, B cannot be the correct answer, either (because it is less
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