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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1448+837n+(240n+25n^2)*(240n+17n^2)/(480+50n)+(13.4+n)*35.8+(9.7+n)*319.5-1.2[4496+1212n+(214n+3.6n^2)*(214n+1.2n^2)/(214+7.3n)] >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1448 + 837 * n + ( 240 * n + 25 * n ^ 2 ) * ( 240 * n + 17 * n ^ 2 ) / ( 480 + 50 * n ) + ( 13.4 + n ) * 35.8 + ( 9.7 + n ) * 319.5 - 1.2 * ( 4496 + 1212 * n + ( 214 * n + 3.6 * n ^ 2 ) * ( 214 * n + 1.2 * n ^ 2 ) / ( 214 + 7.3 * n ) ) >= 0 (1)
From the definition field of divisor
480 + 50 * x ≠ 0 (2 )
From the definition field of divisor
214 + 7.3 * x ≠ 0 (3 )
From inequality(1):
-39.092462 ≤ n ≤ -29.315068 或 n ≥ 15.208734
From inequality(2):
n < -48/5 或 n > -48/5
From inequality(3):
n < -29.315068 或 n > -29.315068
From inequalities (1) and (2)
-39.092462 ≤ n ≤ -29.315068 或 n ≥ 15.208734 (4)
From inequalities (3) and (4)
-39.092462 ≤ n < -29.315068 或 n ≥ 15.208734 (5)
The final solution set is :
-39.092462 ≤ n < -29.315068 或 n ≥ 15.208734Your problem has not been solved here? Please take a look at the hot problems !