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
1 year, 2 months ago

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- 1 year, 2 months ago

@Rahil Sehgal Here is another one..

- 1 year, 2 months ago