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 ((0.2*k+(0.2/3.1416)^2-0.1)*(0.2*k+0.9)-(0.2/3.1415)^2*(0.2*k+1))/(0.2*k+(0.2/3.1416)^2-0.1) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( 0.2 * k + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ) * ( 0.2 * k + 0.9 ) - ( 0.2 / 3.1415 ) ^ 2 * ( 0.2 * k + 1 ) ) / ( 0.2 * k + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ) >0         (1)
        From the definition field of divisor
         0.2 * x + ( 0.2 / 3.1416 ) ^ 2 - 0.1 ≠ 0        (2 )

    From inequality(1):
         -4.502026 < k < 0.479736 或  k > 0.502027
    From inequality(2):
         k < 0.479736 或  k > 0.479736

    From inequalities (1) and (2)
         -4.502026 < k < 0.479736 或  k > 0.502027    (3)

    The final solution set is :

         -4.502026 < k < 0.479736 或  k > 0.502027




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