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if-x-y-z-t-R-and-x-y-z-3t-y-z-t-3x-z-t-x-3y-t-x-y-3z-compare-x-y-z-t-




Question Number 151481 by mathdanisur last updated on 21/Aug/21
if  x;y;z;t∈R  and  x+y+z ≤ 3t  ;  y+z+t ≤ 3x  z+t+x ≤ 3y  ;  t+x+y ≤ 3z  compare:  x;y;z;t
$$\mathrm{if}\:\:\mathrm{x};\mathrm{y};\mathrm{z};\mathrm{t}\in\mathbb{R}\:\:\mathrm{and} \\ $$$$\mathrm{x}+\mathrm{y}+\mathrm{z}\:\leqslant\:\mathrm{3t}\:\:;\:\:\mathrm{y}+\mathrm{z}+\mathrm{t}\:\leqslant\:\mathrm{3x} \\ $$$$\mathrm{z}+\mathrm{t}+\mathrm{x}\:\leqslant\:\mathrm{3y}\:\:;\:\:\mathrm{t}+\mathrm{x}+\mathrm{y}\:\leqslant\:\mathrm{3z} \\ $$$$\mathrm{compare}:\:\:\mathrm{x};\mathrm{y};\mathrm{z};\mathrm{t} \\ $$
Commented by dumitrel last updated on 21/Aug/21
x=y=z=t
$${x}={y}={z}={t} \\ $$
Commented by mathdanisur last updated on 21/Aug/21
Thank You Dear Ser  Solution please
$$\mathrm{Thank}\:\mathrm{You}\:\mathrm{Dear}\:\boldsymbol{\mathrm{S}}\mathrm{er} \\ $$$$\mathrm{Solution}\:\mathrm{please} \\ $$

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