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

    From inequality(1):
         x < -17 或  -2 < x < 0 或  x > 3
    From inequality(2):
         x < 3 或  x > 3
    From inequality(3):
         x < -2 或  x > -2

    From inequalities (1) and (2)
         x < -17 或  -2 < x < 0 或  x > 3    (4)
    From inequalities (3) and (4)
         x < -17 或  -2 < x < 0 或  x > 3    (5)

    The final solution set is :

         x < -17 或  -2 < x < 0 或  x > 3




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