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Let X(k) be real number such that X(k)gt...

Let `X_(k)` be real number such that `X_(k)gtk^(4)+k^(2)+1` for `1 le k le 2018`. Denot`N =sum_(k=1)^(2018)k`. Consider the following inequalities:
I. `(sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)kx_(k)^(2)) " " II. (sum_(k=1)^(2018)kx_(k))^(2)leN(sum_(k=1)^(2018)k^(2)x_(k)^(2))`

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