GMAT Problem Solving (PS) | If 2x + y > m and 2y + x < n, then x – y must be greater than

Given that \(2x + y > m\) and \(2y + x < n\)

Assume values of x and y, let x=4,y=5
Substituting these values m < 13 and n > 14
Since x-y = -1 and Maximum value of m is 12 and minimum value of n is 15

Evaluating the answer options, x-y is greater than
m + n = 27(No)
m – n = -3(Yes)
mn = 180(No)
2m + n = 39(No)
n – m = 3(No)

Only Option B is true for these values.

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