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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -440.31-158.11*n+(305.92*n+26.74*n^2)*(458.88*n+26.74*n^2)/(1835.52+160.44*n)-1.2*(69.03+4.87*n)*(208.59*n+9.74*n^2)/(29.22*n+417.18) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-440.31 - 158.11 * n + ( 305.92 * n + 26.74 * n ^ 2 ) * ( 458.88 * n + 26.74 * n ^ 2 ) / ( 1835.52 + 160.44 * n ) - 1.2 * ( 69.03 + 4.87 * n ) * ( 208.59 * n + 9.74 * n ^ 2 ) / ( 29.22 * n + 417.18 ) ≥0 (1)
From the definition field of divisor
1835.52 + 160.44 * x ≠ 0 (2 )
From the definition field of divisor
29.22 * x + 417.18 ≠ 0 (3 )
From inequality(1):
-18.827833 ≤ n ≤ -1.470311 或 n ≥ 3.570036
From inequality(2):
n < -11.440539 或 n > -11.440539
From inequality(3):
n < -14.277207 或 n > -14.277207
From inequalities (1) and (2)
-18.827833 ≤ n < -11.440539 或 -11.440539 < n ≤ -1.470311 或 n ≥ 3.570036 (4)
From inequalities (3) and (4)
-18.827833 ≤ n < -14.277207 或 -14.277207 < n < -11.440539 或 -11.440539 < n ≤ -1.470311 或 n ≥ 3.570036 (5)
The final solution set is :
-18.827833 ≤ n < -14.277207 或 -14.277207 < n < -11.440539 或 -11.440539 < n ≤ -1.470311 或 n ≥ 3.570036Your problem has not been solved here? Please take a look at the hot problems !