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+r+700/(1+r)^2+2000/(1+r)^3 >-10000+800/1+r+2500/(1+r)^2+2000/(1+r)^3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -2000 + 500 / 1 + r + 700 / ( 1 + r ) ^ 2 + 2000 / ( 1 + r ) ^ 3 > -10000 + 800 / 1 + r + 2500 / ( 1 + r ) ^ 2 + 2000 / ( 1 + r ) ^ 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 inequality(1):
         r < -1.483494 或  r > -0.516506
    From inequality(2):
         r < -1 或  r > -1
    From inequality(3):
         r < -1 或  r > -1
    From inequality(4):
         r < -1 或  r > -1
    From inequality(5):
         r < -1 或  r > -1

    From inequalities (1) and (2)
         r < -1.483494 或  r > -0.516506    (6)
    From inequalities (3) and (6)
         r < -1.483494 或  r > -0.516506    (7)
    From inequalities (4) and (7)
         r < -1.483494 或  r > -0.516506    (8)
    From inequalities (5) and (8)
         r < -1.483494 或  r > -0.516506    (9)

    The final solution set is :

         r < -1.483494 或  r > -0.516506




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