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Given that X and y are greater than zero. 1 / x + 2 / y + 1 = 2, then the minimum value of 2x + y is the mean inequality,
Because 2x + y = 2x + y + 2 [1 / x + 2 / (y + 1)] - 4 = 2 (x + 1 / x) + y + 1 + 4 / (y + 1) - 5 ≥ 4 √ (x · 1 / x) + 2 √ [(Y + 1) · 4 / (y + 1)] - 5 = 3 if and only if x = 1 / x, y + 1 = 4 / (y + 1), i.e. x = y = 1, the above formula takes the equal sign. At this time, the condition 1 / x + 2 / (y + 1) = 2 is satisfied, so the minimum value of 2x + y is
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