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Assignment:Find the solution set of inequality [(544.1n^2+6829.489n+20278.439)(n-1)^2]/(477.078+98.964n) ≥11.3n-211.5+1.2n^2(10626.106+1678.264n+63.6n^2)/(357.09+33.837n) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( 544.1 * n ^ 2 + 6829.489 * n + 20278.439 ) * ( n - 1 ) ^ 2 ) / ( 477.078 + 98.964 * n ) ≥11.3 * n - 211.5 + 1.2 * n ^ 2 * ( 10626.106 + 1678.264 * n + 63.6 * n ^ 2 ) / ( 357.09 + 33.837 * n ) (1)
From the definition field of divisor
477.078 + 98.964 * x ≠ 0 (2 )
From the definition field of divisor
357.09 + 33.837 * x ≠ 0 (3 )
From inequality(1):
n ≥ -5.824853
From inequality(2):
n < -4.820723 或 n > -4.820723
From inequality(3):
n < -10.553241 或 n > -10.553241
From inequalities (1) and (2)
-5.824853 ≤ n < -4.820723 或 n > -4.820723 (4)
From inequalities (3) and (4)
-5.824853 ≤ n < -4.820723 或 n > -4.820723 (5)
The final solution set is :
-5.824853 ≤ n < -4.820723 或 n > -4.820723Your problem has not been solved here? Please take a look at the hot problems !