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 (10542.4m^2-1945.6m+432/m+5454.3)/(29.64m+8.4)+6*(48146.1m^2+767.96-0.7^2+11281.8m/0.7+2592*0.7/m+56243.2m-32372.9*0.7-26295.8*m-117697.6) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 10542.4 * m ^ 2 - 1945.6 * m + 432 / m + 5454.3 ) / ( 29.64 * m + 8.4 ) + 6 * ( 48146.1 * m ^ 2 + 767.96 - 0.7 ^ 2 + 11281.8 * m / 0.7 + 2592 * 0.7 / m + 56243.2 * m - 32372.9 * 0.7 - 26295.8 * m - 117697.6 ) ≥0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         29.64 * x + 8.4 ≠ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         m ≤ -2.252822 或  0 ≤ m ≤ 0.013124 或  m ≥ 1.281514
    From inequality(2):
         m < 0 或  m > 0
    From inequality(3):
         m < -0.283401 或  m > -0.283401
    From inequality(4):
         m < 0 或  m > 0

    From inequalities (1) and (2)
         m ≤ -2.252822 或  0 < m ≤ 0.013124 或  m ≥ 1.281514    (5)
    From inequalities (3) and (5)
         m ≤ -2.252822 或  0 < m ≤ 0.013124 或  m ≥ 1.281514    (6)
    From inequalities (4) and (6)
         m ≤ -2.252822 或  0 < m ≤ 0.013124 或  m ≥ 1.281514    (7)

    The final solution set is :

         m ≤ -2.252822 或  0 < m ≤ 0.013124 或  m ≥ 1.281514




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