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MathNet 2006 — Part 02 Question 155

Math Olympiad Vault · MathNet 2006 — Part 02

Question 155

If $x \gt 0$, $y \gt 0$, $x \gt y$ and $z \neq 0$, then the only wrong option is:

(A) $x + z \gt y + z$

(B) $x - z \gt y - z$

(C) $x z \gt y z$

(D) $\frac{x}{z^{2}} \gt \frac{y}{z^{2}}$

(E) $x z^{2} \gt y z^{2}$