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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -1874.179+1021.159n+n^2/3×(750.781+19.119n)×(2252.343+38.238n)/(1501.562+38.238n)-0.4×n^2(248.477+4.766n)×(754.431+9.531n)/(469.954+9.531n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-1874.179 + 1021.159 * n + n ^ 2 / 3 × ( 750.781 + 19.119 * n ) × ( 2252.343 + 38.238 * n ) / ( 1501.562 + 38.238 * n ) - 0.4 × n ^ 2 * ( 248.477 + 4.766 * n ) × ( 754.431 + 9.531 * n ) / ( 469.954 + 9.531 * n ) ≥0 (1)
From the definition field of divisor
1501.562 + 38.238 * x ≠ 0 (2 )
From the definition field of divisor
469.954 + 9.531 * x ≠ 0 (3 )
From inequality(1):
-53.408601 ≤ n ≤ -49.307943 或 -39.353795 ≤ n ≤ -7.003638 或 n ≥ 1.405495
From inequality(2):
n < -39.268843 或 n > -39.268843
From inequality(3):
n < -49.307943 或 n > -49.307943
From inequalities (1) and (2)
-53.408601 ≤ n ≤ -49.307943 或 -39.353795 ≤ n < -39.268843 或 -39.268843 < n ≤ -7.003638 或 n ≥ 1.405495 (4)
From inequalities (3) and (4)
-53.408601 ≤ n < -49.307943 或 -39.353795 ≤ n < -39.268843 或 -39.268843 < n ≤ -7.003638 或 n ≥ 1.405495 (5)
The final solution set is :
-53.408601 ≤ n < -49.307943 或 -39.353795 ≤ n < -39.268843 或 -39.268843 < n ≤ -7.003638 或 n ≥ 1.405495Your problem has not been solved here? Please take a look at the hot problems !