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Question Number 144156 by mathdanisur last updated on 22/Jun/21

Commented by mitica last updated on 22/Jun/21

x=2,y=8 false  ,,≤,, or,,≥,,

$${x}=\mathrm{2},{y}=\mathrm{8}\:{false} \\ $$$$,,\leqslant,,\:{or},,\geqslant,, \\ $$

Commented by mathdanisur last updated on 22/Jun/21

Sorry Sir, “≥”

$${Sorry}\:{Sir},\:``\geqslant'' \\ $$

Answered by mitica last updated on 22/Jun/21

((x/(x+y)))^((x+y)/2) ≤((x/(x+y)))^(√(xy))   ((y/(x+y)))^((x+y)/2) ≤((y/(x+y)))^(√(xy))

$$\left(\frac{{x}}{{x}+{y}}\right)^{\frac{{x}+{y}}{\mathrm{2}}} \leqslant\left(\frac{{x}}{{x}+{y}}\right)^{\sqrt{{xy}}} \\ $$$$\left(\frac{{y}}{{x}+{y}}\right)^{\frac{{x}+{y}}{\mathrm{2}}} \leqslant\left(\frac{{y}}{{x}+{y}}\right)^{\sqrt{{xy}}} \\ $$

Commented by mathdanisur last updated on 22/Jun/21

cool thanks Sir, could you simplyfy it please

$${cool}\:{thanks}\:{Sir},\:{could}\:{you}\:{simplyfy}\:{it}\:{please} \\ $$

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