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 (-2*x)/(9-x)+(-x+1)/(4-x) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -2 * x ) / ( 9 - x ) + ( -x + 1 ) / ( 4 - x ) >0         (1)
        From the definition field of divisor
         9 - x ≠ 0        (2 )
        From the definition field of divisor
         4 - x ≠ 0        (3 )

    From inequality(1):
         x < 0.55051 或  4 < x < 5.44949 或  x > 9
    From inequality(2):
         x < 9 或  x > 9
    From inequality(3):
         x < 4 或  x > 4

    From inequalities (1) and (2)
         x < 0.55051 或  4 < x < 5.44949 或  x > 9    (4)
    From inequalities (3) and (4)
         x < 0.55051 或  4 < x < 5.44949 或  x > 9    (5)

    The final solution set is :

         x < 0.55051 或  4 < x < 5.44949 或  x > 9




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