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 2 <0.113r+166.95/r-5366.25/(r^4) <20 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 <0.113 * r + 166.95 / r - 5366.25 / ( r ^ 4 )         (1)
        0.113 * r + 166.95 / r - 5366.25 / ( r ^ 4 ) <20         (2)
        From the definition field of divisor
        x ≠ 0        (3 )
        From the definition field of divisor
         x ^ 4 ≠ 0        (4 )

    From inequality(1):
         r > 3.213632
    From inequality(2):
         r < 3.89596 或  8.255751 < r < 168.207828
    From inequality(3):
         r < 0 或  r > 0
    From inequality(4):
         r < 0 或  r > 0

    From inequalities (1) and (2)
         3.213632 < r < 3.89596 或  8.255751 < r < 168.207828     (5)
    From inequalities (3) and (5)
         3.213632 < r < 3.89596 或  8.255751 < r < 168.207828     (6)
    From inequalities (4) and (6)
         3.213632 < r < 3.89596 或  8.255751 < r < 168.207828     (7)

    The final solution set is :

         3.213632 < r < 3.89596 或  8.255751 < r < 168.207828




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