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If $x \geq \min\{y,w\}$ then $x \leq y+w$.

This is kind intuitive,very trivial. Or not? It's like triangular inequality, isn't it?

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    Every $x$ sufficiently big will disprove your conjecture.2012-08-14

1 Answers 1

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This is wrong. Take $y,w=1$ and $x=3$.

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    Of course!It's done!2012-08-14