In the \(xy\)-plane, region \(S\) is defined by \(x \le 0, y \ge 0\) and \(3y -5x \le 15.\) Does the point \((a, b)\)

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In the \(xy\)-plane, region \(S\) is defined by \(x \le 0, y \ge 0\) and \(3y -5x \le 15.\) Does the point \((a, b)\) lie in the defined region \(S,\) given \(a\) and \(b\) are integers?

(1) \(ab = -4\)

(2) \(b - a = 5\)

Answer: C

Source: e-GMAT
Source: — Data Sufficiency |