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 -1200-800/(1+x)+600/(1+x)^2+370*[(1+x)^4-1]/[x*(1+x)^6]+550/(1+x)^7 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1200 - 800 / ( 1 + x ) + 600 / ( 1 + x ) ^ 2 + 370 * ( ( 1 + x ) ^ 4 - 1 ) / ( x * ( 1 + x ) ^ 6 ) + 550 / ( 1 + x ) ^ 7 >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
         x * ( 1 + x ) ^ 6 ≠ 0        (4 )
        From the definition field of divisor
         1 + x ≠ 0        (5 )

    From inequality(1):
         -1.019307 < x < 0.071938
    From inequality(2):
         x < -1 或  x > -1
    From inequality(3):
         x < -1 或  x > -1
    From inequality(4):
         x < -1 或  -1 < x < 0 或  x > 0
    From inequality(5):
         x < -1 或  x > -1

    From inequalities (1) and (2)
         -1.019307 < x < -1 或  -1 < x < 0.071938     (6)
    From inequalities (3) and (6)
         -1.019307 < x < -1 或  -1 < x < 0.071938     (7)
    From inequalities (4) and (7)
         -1.019307 < x < -1 或  -1 < x < -1 或  -1 < x < 0 或  0 < x < 0.071938     (8)
    From inequalities (5) and (8)
         -1.019307 < x < -1 或  -1 < x < -1 或  -1 < x < 0 或  0 < x < 0.071938     (9)

    The final solution set is :

         -1.019307 < x < -1 或  -1 < x < -1 或  -1 < x < 0 或  0 < x < 0.071938




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