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

    From inequality(1):
         -3 < x < -2 或  0 < x < 6
    From inequality(2):
         x < -3 或  x > -3
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -3 < x < -2 或  0 < x < 6     (4)
    From inequalities (3) and (4)
         -3 < x < -2 或  0 < x < 6     (5)

    The final solution set is :

         -3 < x < -2 或  0 < x < 6




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