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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -4324.5057-594.4646×n+n^2/3×(252.985+15.044×n)×(758.955+30.088×n)/(505.970+30.088×n)-0.4×n^2(184.348+5.8×n)×(553.044+11.6×n)/(368.696+11.6×n) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-4324.5057 - 594.4646 × n + n ^ 2 / 3 × ( 252.985 + 15.044 × n ) × ( 758.955 + 30.088 × n ) / ( 505.970 + 30.088 × n ) - 0.4 × n ^ 2 * ( 184.348 + 5.8 × n ) × ( 553.044 + 11.6 × n ) / ( 368.696 + 11.6 × n ) ≥0 (1)
From the definition field of divisor
505.970 + 30.088 × x ≠ 0 (2 )
From the definition field of divisor
368.696 + 11.6 × x ≠ 0 (3 )
From inequality(1):
-13.422489 ≤ n ≤ -7.80022 或 n ≥ 15.328213
From inequality(2):
n < -16.816339 或 n > -16.816339
From inequality(3):
n < -31.784138 或 n > -31.784138
From inequalities (1) and (2)
-13.422489 ≤ n ≤ -7.80022 或 n ≥ 15.328213 (4)
From inequalities (3) and (4)
-13.422489 ≤ n ≤ -7.80022 或 n ≥ 15.328213 (5)
The final solution set is :
-13.422489 ≤ n ≤ -7.80022 或 n ≥ 15.328213Your problem has not been solved here? Please take a look at the hot problems !