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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -3224.604-166.569×n+n^2/3×(273.82+15.044×n)×(821.46+30.088×n)/(547.64+30.088×n)-0.4×n^2×(186.14+5.8×n)×(558.42+11.60×n)/(372.28+11.60×n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-3224.604 - 166.569 × n + n ^ 2 / 3 × ( 273.82 + 15.044 × n ) × ( 821.46 + 30.088 × n ) / ( 547.64 + 30.088 × n ) - 0.4 × n ^ 2 × ( 186.14 + 5.8 × n ) × ( 558.42 + 11.60 × n ) / ( 372.28 + 11.60 × n ) ≥0 (1)
From the definition field of divisor
547.64 + 30.088 × x ≠ 0 (2 )
From the definition field of divisor
372.28 + 11.60 × x ≠ 0 (3 )
From inequality(1):
n ≥ 9.70688
From inequality(2):
n < -18.201276 或 n > -18.201276
From inequality(3):
n < -32.093103 或 n > -32.093103
From inequalities (1) and (2)
n ≥ 9.70688 (4)
From inequalities (3) and (4)
n ≥ 9.70688 (5)
The final solution set is :
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