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-4))+((7)/(x)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( 2 * x ) / ( x - 4 ) ) + ( ( 7 ) / ( x ) ) >0         (1)
        From the definition field of divisor
         x - 4 ≠ 0        (2 )
        From the definition field of divisor
         x ≠ 0        (3 )

    From inequality(1):
         x < -5.880678 或  0 < x < 2.380678 或  x > 4
    From inequality(2):
         x < 4 或  x > 4
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x < -5.880678 或  0 < x < 2.380678 或  x > 4    (4)
    From inequalities (3) and (4)
         x < -5.880678 或  0 < x < 2.380678 或  x > 4    (5)

    The final solution set is :

         x < -5.880678 或  0 < x < 2.380678 或  x > 4




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