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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 862+587n+(214n+22n^2)*(214n+7.3n^2)/(428+44n)+(13.6+n)*41+(8.9+n)*319.5-1.2[3628+1057n+(285n+3.7n^2)*(285n+1.23n^2)/(285+3.7n)] >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
862 + 587 * n + ( 214 * n + 22 * n ^ 2 ) * ( 214 * n + 7.3 * n ^ 2 ) / ( 428 + 44 * n ) + ( 13.6 + n ) * 41 + ( 8.9 + n ) * 319.5 - 1.2 * ( 3628 + 1057 * n + ( 285 * n + 3.7 * n ^ 2 ) * ( 285 * n + 1.23 * n ^ 2 ) / ( 285 + 3.7 * n ) ) >= 0 (1)
From the definition field of divisor
428 + 44 * x ≠ 0 (2 )
From the definition field of divisor
285 + 3.7 * x ≠ 0 (3 )
From inequality(1):
-0.953428 ≤ n ≤ -0.398707 或 n ≥ 109.447811
From inequality(2):
n < -107/11 或 n > -107/11
From inequality(3):
n < -2850/37 或 n > -2850/37
From inequalities (1) and (2)
-0.953428 ≤ n ≤ -0.398707 或 n ≥ 109.447811 (4)
From inequalities (3) and (4)
-0.953428 ≤ n ≤ -0.398707 或 n ≥ 109.447811 (5)
The final solution set is :
-0.953428 ≤ n ≤ -0.398707 或 n ≥ 109.447811Your problem has not been solved here? Please take a look at the hot problems !