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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 (100)/(1+x)+(350)/(1+x)^2+(600)/(1+x)^3+(850)/(1+x)^4 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 100 ) / ( 1 + x ) + ( 350 ) / ( 1 + x ) ^ 2 + ( 600 ) / ( 1 + x ) ^ 3 + ( 850 ) / ( 1 + x ) ^ 4 >0         (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):
         x > -3.464841
    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 inequalities (1) and (2)
         -3.464841 < x < -1 或  x > -1    (6)
    From inequalities (3) and (6)
         -3.464841 < x < -1 或  x > -1    (7)
    From inequalities (4) and (7)
         -3.464841 < x < -1 或  x > -1    (8)
    From inequalities (5) and (8)
         -3.464841 < x < -1 或  x > -1    (9)

    The final solution set is :

         -3.464841 < x < -1 或  x > -1




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