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 (197n+20n^2)*(394n+40n^2)/(591+120n)+1045+556n-(55n+4n^2)*(219n+7.48n^2)/(329+23n)-1972-723n-1551-208n-343-30n-346-24n >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 197 * n + 20 * n ^ 2 ) * ( 394 * n + 40 * n ^ 2 ) / ( 591 + 120 * n ) + 1045 + 556 * n - ( 55 * n + 4 * n ^ 2 ) * ( 219 * n + 7.48 * n ^ 2 ) / ( 329 + 23 * n ) - 1972 - 723 * n - 1551 - 208 * n - 343 - 30 * n - 346 - 24 * n >0         (1)
        From the definition field of divisor
         591 + 120 * x ≠ 0        (2 )
        From the definition field of divisor
         329 + 23 * x ≠ 0        (3 )

    From inequality(1):
         -14.304348 < n < -13.636576 或  -4.925 < n < -3.388694 或  n > 7.448963
    From inequality(2):
         n < -197/40 或  n > -197/40
    From inequality(3):
         n < -14.304348 或  n > -14.304348

    From inequalities (1) and (2)
         -14.304348 < n < -13.636576 或  -4.925 < n < -3.388694 或  n > 7.448963    (4)
    From inequalities (3) and (4)
         -14.304348 < n < -13.636576 或  -4.925 < n < -3.388694 或  n > 7.448963    (5)

    The final solution set is :

         -14.304348 < n < -13.636576 或  -4.925 < n < -3.388694 或  n > 7.448963




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