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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -2089.863+769.2792n+n^2/3×(682.613+19.119n)×(2047.839+38.238n)/(1365.226+38.238n)-0.4×n^2×(231.616+4.766n)×(694.848+9.531n)/(463.232+9.531n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2089.863 + 769.2792 * n + n ^ 2 / 3 × ( 682.613 + 19.119 * n ) × ( 2047.839 + 38.238 * n ) / ( 1365.226 + 38.238 * n ) - 0.4 × n ^ 2 × ( 231.616 + 4.766 * n ) × ( 694.848 + 9.531 * n ) / ( 463.232 + 9.531 * n ) ≥0 (1)
From the definition field of divisor
1365.226 + 38.238 * x ≠ 0 (2 )
From the definition field of divisor
463.232 + 9.531 * x ≠ 0 (3 )
From inequality(1):
-40.803734 ≤ n ≤ -6.317915 或 n ≥ 1.815241
From inequality(2):
n < -35.703384 或 n > -35.703384
From inequality(3):
n < -48.602665 或 n > -48.602665
From inequalities (1) and (2)
-40.803734 ≤ n < -35.703384 或 -35.703384 < n ≤ -6.317915 或 n ≥ 1.815241 (4)
From inequalities (3) and (4)
-40.803734 ≤ n < -35.703384 或 -35.703384 < n ≤ -6.317915 或 n ≥ 1.815241 (5)
The final solution set is :
-40.803734 ≤ n < -35.703384 或 -35.703384 < n ≤ -6.317915 或 n ≥ 1.815241Your problem has not been solved here? Please take a look at the hot problems !