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Assignment:Find the solution set of inequality 1024.66-115.77*n+(42518.71*n^2+11607.38*n^3+760.5*n^4)/(714.9+117*n) >(26316.59*n^2+2294.67*n^3+48.02*n^4)/(561.96+29.4*n) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1024.66 - 115.77 * n + ( 42518.71 * n ^ 2 + 11607.38 * n ^ 3 + 760.5 * n ^ 4 ) / ( 714.9 + 117 * n ) > ( 26316.59 * n ^ 2 + 2294.67 * n ^ 3 + 48.02 * n ^ 4 ) / ( 561.96 + 29.4 * n ) (1)
From the definition field of divisor
714.9 + 117 * x ≠ 0 (2 )
From the definition field of divisor
561.96 + 29.4 * x ≠ 0 (3 )
From inequality(1):
n > -8.413048
From inequality(2):
n < -6.110256 或 n > -6.110256
From inequality(3):
n < -19.114286 或 n > -19.114286
From inequalities (1) and (2)
-8.413048 < n < -6.110256 或 n > -6.110256 (4)
From inequalities (3) and (4)
-8.413048 < n < -6.110256 或 n > -6.110256 (5)
The final solution set is :
-8.413048 < n < -6.110256 或 n > -6.110256Your problem has not been solved here? Please take a look at the hot problems !