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[ 1/1Inequality]
Assignment:Find the solution set of inequality 6711.26+479.5n+((223.62n+22.01n^2)/(347.97+66.03n))*(58n+11n^2)-1.25*(747.78*(3.86+n)+(267.21n+6.23n^2)*(911.91n+12.49n^2)/(1603.23+37.47n)) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
6711.26 + 479.5 * n + ( ( 223.62 * n + 22.01 * n ^ 2 ) / ( 347.97 + 66.03 * n ) ) * ( 58 * n + 11 * n ^ 2 ) - 1.25 * ( 747.78 * ( 3.86 + n ) + ( 267.21 * n + 6.23 * n ^ 2 ) * ( 911.91 * n + 12.49 * n ^ 2 ) / ( 1603.23 + 37.47 * n ) ) ≥0 (1)
From the definition field of divisor
347.97 + 66.03 * x ≠ 0 (2 )
From the definition field of divisor
1603.23 + 37.47 * x ≠ 0 (3 )
From inequality(1):
-42.830804 ≤ n ≤ -42.78703 或 -6.067646 ≤ n ≤ 3.283545 或 n ≥ 145.270487
From inequality(2):
n < -5.269877 或 n > -5.269877
From inequality(3):
n < -42.78703 或 n > -42.78703
From inequalities (1) and (2)
-42.830804 ≤ n ≤ -42.78703 或 -6.067646 ≤ n < -5.269877 或 -5.269877 < n ≤ 3.283545 或 n ≥ 145.270487 (4)
From inequalities (3) and (4)
-42.830804 ≤ n < -42.78703 或 -6.067646 ≤ n < -5.269877 或 -5.269877 < n ≤ 3.283545 或 n ≥ 145.270487 (5)
The final solution set is :
-42.830804 ≤ n < -42.78703 或 -6.067646 ≤ n < -5.269877 或 -5.269877 < n ≤ 3.283545 或 n ≥ 145.270487Your problem has not been solved here? Please take a look at the hot problems !