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 1/9*{[1-(1-a)^9]*(198.76*a^2+70*a+19.36)/(19*a^2+6*a+3)+1} <[1/9+1-(1-a)^9] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / 9 * ( ( 1 - ( 1 - a ) ^ 9 ) * ( 198.76 * a ^ 2 + 70 * a + 19.36 ) / ( 19 * a ^ 2 + 6 * a + 3 ) + 1 ) < ( 1 / 9 + 1 - ( 1 - a ) ^ 9 )         (1)
        From the definition field of divisor
         19 * x ^ 2 + 6 * x + 3 ≠ 0        (2 )

    From inequality(1):
         a < -0.886738 或  0 < a < 0.310369
    From inequality(2):
         a ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         a < -0.886738 或  0 < a < 0.310369     (3)

    The final solution set is :

         a < -0.886738 或  0 < a < 0.310369




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