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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+8000/(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 + 8000 / ( 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 ) ^ 2 ≠ 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 ) ^ 2 ≠ 0        (6 )
        From the definition field of divisor
         1 + x ≠ 0        (7 )

    From inequality(1):
         x < -1.198128 或  x > 0.135628
    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 < -1.198128 或  x > 0.135628    (8)
    From inequalities (3) and (8)
         x < -1.198128 或  x > 0.135628    (9)
    From inequalities (4) and (9)
         x < -1.198128 或  x > 0.135628    (10)
    From inequalities (5) and (10)
         x < -1.198128 或  x > 0.135628    (11)
    From inequalities (6) and (11)
         x < -1.198128 或  x > 0.135628    (12)
    From inequalities (7) and (12)
         x < -1.198128 或  x > 0.135628    (13)

    The final solution set is :

         x < -1.198128 或  x > 0.135628




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