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 -57177.33+24723/(1+x)+25023/(1+x)^-2+25323/(1+x)^-3 <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -57177.33 + 24723 / ( 1 + x ) + 25023 / ( 1 + x ) ^ -2 + 25323 / ( 1 + x ) ^ -3 <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 inequality(1):
         x < -1 或  -0.463027 < x < -0.266013
    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 inequalities (1) and (2)
         x < -1 或  -0.463027 < x < -0.266013     (5)
    From inequalities (3) and (5)
         x < -1 或  -0.463027 < x < -0.266013     (6)
    From inequalities (4) and (6)
         x < -1 或  -0.463027 < x < -0.266013     (7)

    The final solution set is :

         x < -1 或  -0.463027 < x < -0.266013




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