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 6000/x+10000/(x+22.4)+10000/x <150 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        6000 / x + 10000 / ( x + 22.4 ) + 10000 / x <150         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         x + 22.4 ≠ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         x < -22.4 或  -14.447465 < x < 0 或  x > 165.380799
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < -112/5 或  x > -112/5
    From inequality(4):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x < -22.4 或  -14.447465 < x < 0 或  x > 165.380799    (5)
    From inequalities (3) and (5)
         x < -112/5 或  -14.447465 < x < 0 或  x > 165.380799    (6)
    From inequalities (4) and (6)
         x < -112/5 或  -14.447465 < x < 0 或  x > 165.380799    (7)

    The final solution set is :

         x < -112/5 或  -14.447465 < x < 0 或  x > 165.380799




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