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[ 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 ≥ 2.322579Your problem has not been solved here? Please take a look at the hot problems !