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Assignment:Find the solution set of inequality -647.1419+241.894*n+(281.21*n+18.82*n^2)*(843.63*n+37.63*n^2)/(1687.26+112.89*n)-1.2*(100.94*n+4.87*n^2)*(302.82*n+9.74*n^2)/(605.64+29.22*n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-647.1419 + 241.894 * n + ( 281.21 * n + 18.82 * n ^ 2 ) * ( 843.63 * n + 37.63 * n ^ 2 ) / ( 1687.26 + 112.89 * n ) - 1.2 * ( 100.94 * n + 4.87 * n ^ 2 ) * ( 302.82 * n + 9.74 * n ^ 2 ) / ( 605.64 + 29.22 * n ) ≥0 (1)
From the definition field of divisor
1687.26 + 112.89 * x ≠ 0 (2 )
From the definition field of divisor
605.64 + 29.22 * x ≠ 0 (3 )
From inequality(1):
-13.524859 ≤ n ≤ -6.604019 或 n ≥ 1.669641
From inequality(2):
n < -14.946054 或 n > -14.946054
From inequality(3):
n < -20.726899 或 n > -20.726899
From inequalities (1) and (2)
-13.524859 ≤ n ≤ -6.604019 或 n ≥ 1.669641 (4)
From inequalities (3) and (4)
-13.524859 ≤ n ≤ -6.604019 或 n ≥ 1.669641 (5)
The final solution set is :
-13.524859 ≤ n ≤ -6.604019 或 n ≥ 1.669641Your problem has not been solved here? Please take a look at the hot problems !