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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 (20/u)/(1-100/(u^2)) <7 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 20 / u ) / ( 1 - 100 / ( u ^ 2 ) ) <7         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         x ^ 2 ≠ 0        (3 )
        From the definition field of divisor
         1 - 100 / ( x ^ 2 ) ≠ 0        (4 )

    From inequality(1):
         u < -10 或  -8.672954 < u < 10 或  u > 11.530097
    From inequality(2):
         u < 0 或  u > 0
    From inequality(3):
         u < 0 或  u > 0
    From inequality(4):
         u < -10 或  -10 < u < 10 或  u > 10

    From inequalities (1) and (2)
         u < -10 或  -8.672954 < u < 0 或  0 < u < 10 或  u > 11.530097    (5)
    From inequalities (3) and (5)
         u < -10 或  -8.672954 < u < 0 或  0 < u < 0 或  0 < u < 10 或  u > 11.530097    (6)
    From inequalities (4) and (6)
         u < -10 或  -8.672954 < u < 0 或  0 < u < 0 或  0 < u < 10 或  u > 11.530097    (7)

    The final solution set is :

         u < -10 或  -8.672954 < u < 0 或  0 < u < 0 或  0 < u < 10 或  u > 11.530097




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