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MathNet 2000 — Math Olympiad Vault Question 159

Math Olympiad Vault · MathNet 2000 — Math Olympiad Vault

Question 159

Let $x,y$ be positive real numbers. Which condition is sufficient to guarantee $x^y\gt y^x$?

(A) $1\lt x\lt y$
(B) $1\lt y\lt x$
(C) $x\lt 1\lt y$
(D) $x\lt y\lt 1$
(E) $y\lt x\lt 1$.