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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 -8.4/(1+x)+2.44*(1/(1+x)^2+1/(1+x)^3+1/(1+x)^4+1/(1+x)^5) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -8.4 / ( 1 + x ) + 2.44 * ( 1 / ( 1 + x ) ^ 2 + 1 / ( 1 + x ) ^ 3 + 1 / ( 1 + x ) ^ 4 + 1 / ( 1 + x ) ^ 5 ) ≥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 the definition field of divisor
         1 + x ≠ 0        (6 )

    From inequality(1):
         x ≤ -1.624107 或  -1.003981 ≤ x ≤ 0.062849
    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 inequalities (1) and (2)
         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849     (7)
    From inequalities (3) and (7)
         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849     (8)
    From inequalities (4) and (8)
         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849     (9)
    From inequalities (5) and (9)
         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849     (10)
    From inequalities (6) and (10)
         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849     (11)

    The final solution set is :

         x ≤ -1.624107 或  -1.003981 ≤ x < -1 或  -1 < x ≤ 0.062849




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