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\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n
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\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n
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\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n
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\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n \iff\frac{x_1^n+x_2^n}{2}\geq \left(\frac{x_1+x_2}{2}\right)^n
\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n
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\displaystyle 2^n^-^1(x_1^n + x_2^n) \geq (x_1 +x_2)^n \iff\frac{x_1^n+x_2^n}{2}\geq \left(\frac{x_1+x_2}{2}\right)^n
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