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Assignment:Find the solution set of inequality 542.9+382n+(18n^2+153n)*(38n^2+153n)/(306+38n)+47*(13.6+n)+322*(9+n)-1.2[3858+1011n+(199n+4.5n^2)*(199n+3n^2)/(400+9n)] >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
542.9 + 382 * n + ( 18 * n ^ 2 + 153 * n ) * ( 38 * n ^ 2 + 153 * n ) / ( 306 + 38 * n ) + 47 * ( 13.6 + n ) + 322 * ( 9 + n ) - 1.2 * ( 3858 + 1011 * n + ( 199 * n + 4.5 * n ^ 2 ) * ( 199 * n + 3 * n ^ 2 ) / ( 400 + 9 * n ) ) >= 0 (1)
From the definition field of divisor
306 + 38 * x ≠ 0 (2 )
From the definition field of divisor
400 + 9 * x ≠ 0 (3 )
From inequality(1):
-8.311548 ≤ n ≤ -8.052632 或 -2.990448 ≤ n ≤ -1.537388 或 n ≥ 7.149955
From inequality(2):
n < -8.052632 或 n > -8.052632
From inequality(3):
n < -400/9 或 n > -400/9
From inequalities (1) and (2)
-8.311548 ≤ n < -8.052632 或 -2.990448 ≤ n ≤ -1.537388 或 n ≥ 7.149955 (4)
From inequalities (3) and (4)
-8.311548 ≤ n < -8.052632 或 -2.990448 ≤ n ≤ -1.537388 或 n ≥ 7.149955 (5)
The final solution set is :
-8.311548 ≤ n < -8.052632 或 -2.990448 ≤ n ≤ -1.537388 或 n ≥ 7.149955Your problem has not been solved here? Please take a look at the hot problems !