Mathematics
语言:中文
Language:English

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 1448+837n+(240n+25n^2)*(240n+17n^2)/(480+50n)+(13.4+n)*35.8+(9.7+n)*319.5-1.2[4496+1212n+(214n+3.6n^2)*(214n+1.2n^2)/(214+7.3n)] >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1448 + 837 * n + ( 240 * n + 25 * n ^ 2 ) * ( 240 * n + 17 * n ^ 2 ) / ( 480 + 50 * n ) + ( 13.4 + n ) * 35.8 + ( 9.7 + n ) * 319.5 - 1.2 * ( 4496 + 1212 * n + ( 214 * n + 3.6 * n ^ 2 ) * ( 214 * n + 1.2 * n ^ 2 ) / ( 214 + 7.3 * n ) ) >= 0         (1)
        From the definition field of divisor
         480 + 50 * x ≠ 0        (2 )
        From the definition field of divisor
         214 + 7.3 * x ≠ 0        (3 )

    From inequality(1):
         -39.092462 ≤ n ≤ -29.315068 或  n ≥ 15.208734
    From inequality(2):
         n < -48/5 或  n > -48/5
    From inequality(3):
         n < -29.315068 或  n > -29.315068

    From inequalities (1) and (2)
         -39.092462 ≤ n ≤ -29.315068 或  n ≥ 15.208734    (4)
    From inequalities (3) and (4)
         -39.092462 ≤ n < -29.315068 或  n ≥ 15.208734    (5)

    The final solution set is :

         -39.092462 ≤ n < -29.315068 或  n ≥ 15.208734




Your problem has not been solved here? Please take a look at the  hot problems !


Return