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 <0.095r+1.095((60^2)/(24r)-(60^4)/(2688(r^5))) <20 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 <0.095 * r + 1.095 * ( ( 60 ^ 2 ) / ( 24 * r ) - ( 60 ^ 4 ) / ( 2688 * ( r ^ 5 ) ) )         (1)
        0.095 * r + 1.095 * ( ( 60 ^ 2 ) / ( 24 * r ) - ( 60 ^ 4 ) / ( 2688 * ( r ^ 5 ) ) ) <20         (2)
        From the definition field of divisor
         24 * x ≠ 0        (3 )
        From the definition field of divisor
         2688 * ( x ^ 5 ) ≠ 0        (4 )

    From inequality(1):
         -2.362391 < r < 0.000821 或  r > 2.396712
    From inequality(2):
         r < -2.240438 或  0.000821 < r < 2.61698 或  r > 8.505716
    From inequality(3):
         r < 0 或  r > 0
    From inequality(4):
         r < 0 或  r > 0

    From inequalities (1) and (2)
         -2.362391 < r < -2.240438 或  2.396712 < r < 2.61698 或  r > 8.505716    (5)
    From inequalities (3) and (5)
         -2.362391 < r < -2.240438 或  2.396712 < r < 2.61698 或  r > 8.505716    (6)
    From inequalities (4) and (6)
         -2.362391 < r < -2.240438 或  2.396712 < r < 2.61698 或  r > 8.505716    (7)

    The final solution set is :

         -2.362391 < r < -2.240438 或  2.396712 < r < 2.61698 或  r > 8.505716




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