Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality X^11*(1-X)^10+X^12*(1-X)^9+X^13*(1-X)^8+X^14*(1-X)^7+X^15*(1-X)^6+X^16*(1-X)^5+X^17*(1-X)^4+X^18*(1-X)^3+X^19*(1-X)^2+X^20*(1-X)*X^21 <0.3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         X ^ 11 * ( 1 - X ) ^ 10 + X ^ 12 * ( 1 - X ) ^ 9 + X ^ 13 * ( 1 - X ) ^ 8 + X ^ 14 * ( 1 - X ) ^ 7 + X ^ 15 * ( 1 - X ) ^ 6 + X ^ 16 * ( 1 - X ) ^ 5 + X ^ 17 * ( 1 - X ) ^ 4 + X ^ 18 * ( 1 - X ) ^ 3 + X ^ 19 * ( 1 - X ) ^ 2 + X ^ 20 * ( 1 - X ) * X ^ 21 <0.3         (1)

    From inequality(1):
         X ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    The final solution set is :

         X ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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