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MathNet 2010 — Part 01 Question 189

Math Olympiad Vault · MathNet 2010 — Part 01

Question 189

being $x\gt 0$, $y\gt 0$, $x\gt y$ e $z \neq 0$, find the only false inequality.


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