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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 1 ≥151800*x^3*(1-x)^97+4950*x^2*(1-x)^98+100*x*(1-x)^99+(1-x)^100 ≥0.95 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 ≥151800 * x ^ 3 * ( 1 - x ) ^ 97 + 4950 * x ^ 2 * ( 1 - x ) ^ 98 + 100 * x * ( 1 - x ) ^ 99 + ( 1 - x ) ^ 100         (1)
        151800 * x ^ 3 * ( 1 - x ) ^ 97 + 4950 * x ^ 2 * ( 1 - x ) ^ 98 + 100 * x * ( 1 - x ) ^ 99 + ( 1 - x ) ^ 100 ≥0.95         (2)

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         -0.009676 ≤ x ≤ 0.013177

    From inequalities (1) and (2)
         -0.009676 ≤ x ≤ 0.013177    (3)

    The final solution set is :

         -0.009676 ≤ x ≤ 0.013177




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