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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 the definition field of divisor
         3 * x + 1 ≠ 0        (4 )
        From the definition field of divisor
         3 * x + 1 ≠ 0        (5 )

    From inequality(1):
         -13.368117 ≤ n ≤ -4.584705
    From inequality(2):
         n < -1/3 或  n > -1/3
    From inequality(3):
         n < -1/3 或  n > -1/3
    From inequality(4):
         n < -1/3 或  n > -1/3
    From inequality(5):
         n < -1/3 或  n > -1/3

    From inequalities (1) and (2)
         -13.368117 ≤ n ≤ -4.584705    (6)
    From inequalities (3) and (6)
         -13.368117 ≤ n ≤ -4.584705    (7)
    From inequalities (4) and (7)
         -13.368117 ≤ n ≤ -4.584705    (8)
    From inequalities (5) and (8)
         -13.368117 ≤ n ≤ -4.584705    (9)

    The final solution set is :

         -13.368117 ≤ n ≤ -4.584705




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