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 (91.25*(n-1)/3*n+1)*(91.25*(n-1)/3*n+1)+(1825/(3n+1)+97.33)*(1825/(3n+1)+97.33) <= 60.75*60.75 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 91.25 * ( n - 1 ) / 3 * n + 1 ) * ( 91.25 * ( n - 1 ) / 3 * n + 1 ) + ( 1825 / ( 3 * n + 1 ) + 97.33 ) * ( 1825 / ( 3 * n + 1 ) + 97.33 ) <= 60.75 * 60.75         (1)
        From the definition field of divisor
         3 * x + 1 ≠ 0        (2 )
        From the definition field of divisor
         3 * x + 1 ≠ 0        (3 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         n < -1/3 或  n > -1/3
    From inequality(3):
         n < -1/3 或  n > -1/3

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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