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

    From inequality(1):
         -1/2 < x < 0.666667 或  x > 3
    From inequality(2):
         x < 3 或  x > 3
    From inequality(3):
         x < 2/3 或  x > 2/3

    From inequalities (1) and (2)
         -1/2 < x < 0.666667 或  x > 3    (4)
    From inequalities (3) and (4)
         -1/2 < x < 2/3 或  x > 3    (5)

    The final solution set is :

         -1/2 < x < 2/3 或  x > 3




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