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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 2 <0.116r+140.6625/r-3799.14/(r^3) <20 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 <0.116 * r + 140.6625 / r - 3799.14 / ( r ^ 3 )         (1)
        0.116 * r + 140.6625 / r - 3799.14 / ( r ^ 3 ) <20         (2)
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of divisor
         x ^ 3 ≠ 0        (4 )

    From inequality(1):
         -4.975203 < r < 0.0001 或  r > 5.338778
    From inequality(2):
         r < -4.110647 或  0.0001 < r < 165.075288
    From inequality(3):
         r < 0 或  r > 0
    From inequality(4):
         r < 0 或  r > 0

    From inequalities (1) and (2)
         -4.975203 < r < -4.110647 或  5.338778 < r < 165.075288     (5)
    From inequalities (3) and (5)
         -4.975203 < r < -4.110647 或  5.338778 < r < 165.075288     (6)
    From inequalities (4) and (6)
         -4.975203 < r < -4.110647 或  5.338778 < r < 165.075288     (7)

    The final solution set is :

         -4.975203 < r < -4.110647 或  5.338778 < r < 165.075288




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