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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 (4200/30)x+1800/(30—(x—30)) <3000/x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 4200 / 30 ) * x + 1800 / ( 30 - ( x - 30 ) ) <3000 / x         (1)
        From the definition field of divisor
         30 - ( x - 30 ) ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         x < -4.72948 或  0 < x < 4.514689 或  60 < x < 60.214791
    From inequality(2):
         x < 60 或  x > 60
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x < -4.72948 或  0 < x < 4.514689 或  60 < x < 60.214791     (4)
    From inequalities (3) and (4)
         x < -4.72948 或  0 < x < 4.514689 或  60 < x < 60.214791     (5)

    The final solution set is :

         x < -4.72948 或  0 < x < 4.514689 或  60 < x < 60.214791




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