If x > y and z < 0, where $x, y, z \in Z$ and $x, y > 0,$ then which of the following are true ? (A) $x.z> y.z$ (B) $\frac{x-y}{z}>\frac{y-x}{z}$ (C)$\frac{x+y}{z}>\frac{x-y}{z}$ (D) $x+z < y + z$ (E) $\frac{y-x}{z}< 0$ Choose the correct answer from the options given below :

(A) and (C) Only (B) and (E) Only (C) and (D) Only (B) and (D) Only

(B) and (D) Only