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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 900*{1/x-1/[x*(1+x)^7]}-3000 >= 500*{1/x-1/[x*(1+x)^7]}-2000 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        900 * ( 1 / x - 1 / ( x * ( 1 + x ) ^ 7 ) ) - 3000 >= 500 * ( 1 / x - 1 / ( x * ( 1 + x ) ^ 7 ) ) - 2000         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         x * ( 1 + x ) ^ 7 ≠ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of divisor
         x * ( 1 + x ) ^ 7 ≠ 0        (5 )

    From inequality(1):
         x ≤ 0.35141
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < -1 或  -1 < x < 0 或  x > 0
    From inequality(4):
         x < 0 或  x > 0
    From inequality(5):
         x < -1 或  -1 < x < 0 或  x > 0

    From inequalities (1) and (2)
         x < 0 或  0 < x ≤ 0.35141     (6)
    From inequalities (3) and (6)
         x < -1 或  -1 < x < 0 或  0 < x ≤ 0.35141     (7)
    From inequalities (4) and (7)
         x < -1 或  -1 < x < 0 或  0 < x ≤ 0.35141     (8)
    From inequalities (5) and (8)
         x < -1 或  -1 < x < 0 或  0 < x ≤ 0.35141     (9)

    The final solution set is :

         x < -1 或  -1 < x < 0 或  0 < x ≤ 0.35141




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