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[ 1/1Inequality]
Assignment:Find the solution set of inequality 6830.42+544.59n+((155.03n+22.01n^2)/(240.54+66.03n))*(45.59n+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:
6830.42 + 544.59 * n + ( ( 155.03 * n + 22.01 * n ^ 2 ) / ( 240.54 + 66.03 * n ) ) * ( 45.59 * 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
240.54 + 66.03 * x ≠ 0 (2 )
From the definition field of divisor
1603.23 + 37.47 * x ≠ 0 (3 )
From inequality(1):
-42.828318 ≤ n ≤ -42.78703 或 -5.618213 ≤ n ≤ -3.678032 或 -3.64289 ≤ n ≤ 3.449356 或 n ≥ 153.649273
From inequality(2):
n < -3.64289 或 n > -3.64289
From inequality(3):
n < -42.78703 或 n > -42.78703
From inequalities (1) and (2)
-42.828318 ≤ n ≤ -42.78703 或 -5.618213 ≤ n ≤ -3.678032 或 -3.64289 < n ≤ 3.449356 或 n ≥ 153.649273 (4)
From inequalities (3) and (4)
-42.828318 ≤ n < -42.78703 或 -5.618213 ≤ n ≤ -3.678032 或 -3.64289 < n ≤ 3.449356 或 n ≥ 153.649273 (5)
The final solution set is :
-42.828318 ≤ n < -42.78703 或 -5.618213 ≤ n ≤ -3.678032 或 -3.64289 < n ≤ 3.449356 或 n ≥ 153.649273Your problem has not been solved here? Please take a look at the hot problems !