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 -1239.68+575.98+(376.96*n+18.82*n^2)*(1130.88*n+37.63*n^2)/(2261.76+112.89*n)-1.2*(125.82*n+4.87*n^2)*(377.46*n+9.74*n^2)/(29.22*n+754.92) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1239.68 + 575.98 + ( 376.96 * n + 18.82 * n ^ 2 ) * ( 1130.88 * n + 37.63 * n ^ 2 ) / ( 2261.76 + 112.89 * n ) - 1.2 * ( 125.82 * n + 4.87 * n ^ 2 ) * ( 377.46 * n + 9.74 * n ^ 2 ) / ( 29.22 * n + 754.92 ) ≥0         (1)
        From the definition field of divisor
         2261.76 + 112.89 * x ≠ 0        (2 )
        From the definition field of divisor
         29.22 * x + 754.92 ≠ 0        (3 )

    From inequality(1):
         -25.910848 ≤ n ≤ -2.551487 或  n ≥ 2.322579
    From inequality(2):
         n < -20.035078 或  n > -20.035078
    From inequality(3):
         n < -25.835729 或  n > -25.835729

    From inequalities (1) and (2)
         -25.910848 ≤ n < -20.035078 或  -20.035078 < n ≤ -2.551487 或  n ≥ 2.322579    (4)
    From inequalities (3) and (4)
         -25.910848 ≤ n < -25.835729 或  -25.835729 < n < -20.035078 或  -20.035078 < n ≤ -2.551487 或  n ≥ 2.322579    (5)

    The final solution set is :

         -25.910848 ≤ n < -25.835729 或  -25.835729 < n < -20.035078 或  -20.035078 < n ≤ -2.551487 或  n ≥ 2.322579




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


Return