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Inequality is back

Let \(x_1,x_2,x_3,x_4 \in \mathbb{R^{+}}\) such that \(x_1x_2x_3x_4=1\).

Prove that :

\[\large{\displaystyle \sum_{i=1}^{4} x_i^{3} \geq \text{max.}\left(\displaystyle \sum_{i=1}^4 x_i , \displaystyle \sum_{i=1}^4 \dfrac1{x_i}\right)}\]

Note by Ankit Kumar Jain
4 months ago

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Please post your solutions everyone... Ankit Kumar Jain · 4 months ago

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@Rahil Sehgal Here is another one.. Ankit Kumar Jain · 4 months ago

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