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 (155.7+18.19*n)*(155.7*3+36.38*n)/(155.7*2+36.38n)*n/3-1212.32-577.07*n >1.2*(238.26*n+6.89*n*n)*(238.26*3+13.77*n)/(238.26*2+13.77*n)*n/3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 155.7 + 18.19 * n ) * ( 155.7 * 3 + 36.38 * n ) / ( 155.7 * 2 + 36.38 * n ) * n / 3 - 1212.32 - 577.07 * n >1.2 * ( 238.26 * n + 6.89 * n * n ) * ( 238.26 * 3 + 13.77 * n ) / ( 238.26 * 2 + 13.77 * n ) * n / 3         (1)
        From the definition field of divisor
         155.7 * 2 + 36.38 * x ≠ 0        (2 )
        From the definition field of divisor
         238.26 * 2 + 13.77 * x ≠ 0        (3 )

    From inequality(1):
         n < -45.990875 或  -34.605664 < n < -34.563261
    From inequality(2):
         n < -8.559648 或  n > -8.559648
    From inequality(3):
         n < -34.605664 或  n > -34.605664

    From inequalities (1) and (2)
         n < -45.990875 或  -34.605664 < n < -34.563261     (4)
    From inequalities (3) and (4)
         n < -45.990875 或  -34.605664 < n < -34.563261     (5)

    The final solution set is :

         n < -45.990875 或  -34.605664 < n < -34.563261




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