Instructions: DO NOT USE CALCULATOR. Figures are not drawn to scale. If \(x > z\) and \(y < - z\) where z is a positive integer, then which of the following must be true?
Explanation: (C) Given: z is a positive integer (\(z > 0\)). \(x > z\) (x is positive). \(y < -z\) (y is negative, since \(-z < 0\)). Since x is positive and y is negative, their ratio \(\frac{x}{y}\) must be negative. Any negative number is less than 0. Thus, \(\frac{x}{y} < 0\) must be true.
