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 -2000+500/(1+X)+700/(1+X)^2+2000/(1+X)^3 >-10000+800/(1+X)+2500/(1+X)^2+2000/(1+X)^3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -2000 + 500 / ( 1 + X ) + 700 / ( 1 + X ) ^ 2 + 2000 / ( 1 + X ) ^ 3 > -10000 + 800 / ( 1 + X ) + 2500 / ( 1 + X ) ^ 2 + 2000 / ( 1 + X ) ^ 3         (1)
        From the definition field of divisor
         1 + x ≠ 0        (2 )
        From the definition field of divisor
         1 + x ≠ 0        (3 )
        From the definition field of divisor
         1 + x ≠ 0        (4 )
        From the definition field of divisor
         1 + x ≠ 0        (5 )
        From the definition field of divisor
         1 + x ≠ 0        (6 )
        From the definition field of divisor
         1 + x ≠ 0        (7 )

    From inequality(1):
         X < -1.455962 或  X > -0.506538
    From inequality(2):
         X < -1 或  X > -1
    From inequality(3):
         X < -1 或  X > -1
    From inequality(4):
         X < -1 或  X > -1
    From inequality(5):
         X < -1 或  X > -1
    From inequality(6):
         X < -1 或  X > -1
    From inequality(7):
         X < -1 或  X > -1

    From inequalities (1) and (2)
         X < -1.455962 或  X > -0.506538    (8)
    From inequalities (3) and (8)
         X < -1.455962 或  X > -0.506538    (9)
    From inequalities (4) and (9)
         X < -1.455962 或  X > -0.506538    (10)
    From inequalities (5) and (10)
         X < -1.455962 或  X > -0.506538    (11)
    From inequalities (6) and (11)
         X < -1.455962 或  X > -0.506538    (12)
    From inequalities (7) and (12)
         X < -1.455962 或  X > -0.506538    (13)

    The final solution set is :

         X < -1.455962 或  X > -0.506538




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