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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 {1.25*a/[0.53*(1.25*a)+1]}/{a/[(0.53*a)+1]} >1.06 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1.25 * a / ( 0.53 * ( 1.25 * a ) + 1 ) ) / ( a / ( ( 0.53 * a ) + 1 ) ) >1.06         (1)
        From the definition field of divisor
         0.53 * ( 1.25 * x ) + 1 ≠ 0        (2 )
        From the definition field of divisor
         ( 0.53 * x ) + 1 ≠ 0        (3 )
        From the definition field of divisor
         x / ( ( 0.53 * x ) + 1 ) ≠ 0        (4 )

    From inequality(1):
         -1.509434 < a < √79965191/√3500000
    From inequality(2):
         a < -1.509434 或  a > -1.509434
    From inequality(3):
         a < -1.886792 或  a > -1.886792
    From inequality(4):
         a < -1.886792 或  -1.886792 < a < 0 或  a > 0

    From inequalities (1) and (2)
         -1.509434 < a < √79965191/√3500000     (5)
    From inequalities (3) and (5)
         -1.509434 < a < √79965191/√3500000     (6)
    From inequalities (4) and (6)
         -1.509434 < a < 0 或  0 < a < √79965191/√3500000     (7)

    The final solution set is :

         -1.509434 < a < 0 或  0 < a < √79965191/√3500000




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