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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 7500/(a+74.88)+10000/(a+62.4)+30000/(a+10.4)小于143 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        7500 / ( a + 74.88 ) + 10000 / ( a + 62.4 ) + 30000 / ( a + 10.4 ) <143         (1)
        From the definition field of divisor
         x + 74.88 ≠ 0        (2 )
        From the definition field of divisor
         x + 62.4 ≠ 0        (3 )
        From the definition field of divisor
         x + 10.4 ≠ 0        (4 )

    From inequality(1):
         a < -74.88 或  -70.786532 < a < -62.4 或  -47.585126 < a < -10.4
    From inequality(2):
         a < -1872/25 或  a > -1872/25
    From inequality(3):
         a < -312/5 或  a > -312/5
    From inequality(4):
         a < -52/5 或  a > -52/5

    From inequalities (1) and (2)
         a < -74.88 或  -70.786532 < a < -62.4 或  -47.585126 < a < -10.4     (5)
    From inequalities (3) and (5)
         a < -74.88 或  -70.786532 < a < -312/5 或  -47.585126 < a < -10.4     (6)
    From inequalities (4) and (6)
         a < -74.88 或  -70.786532 < a < -312/5 或  -47.585126 < a < -52/5     (7)

    The final solution set is :

         a < -74.88 或  -70.786532 < a < -312/5 或  -47.585126 < a < -52/5




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