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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 (n+1)/(3n-16) <(n+2)/(3n-13) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( n + 1 ) / ( 3 * n - 16 ) < ( n + 2 ) / ( 3 * n - 13 )         (1)
        From the definition field of divisor
         3 * x - 16 ≠ 0        (2 )
        From the definition field of divisor
         3 * x - 13 ≠ 0        (3 )

    From inequality(1):
         4.333333 < n < 5.333333
    From inequality(2):
         n < 16/3 或  n > 16/3
    From inequality(3):
         n < 13/3 或  n > 13/3

    From inequalities (1) and (2)
         4.333333 < n < 5.333333     (4)
    From inequalities (3) and (4)
         13/3 < n < 5.333333     (5)

    The final solution set is :

         13/3 < n < 5.333333




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