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[ 1/1Inequality]
Assignment:Find the solution set of inequality 862+587n+(213.6n+22n^2)*(213.6n+22n^2)/(427+22n)+(1.5+n)*41.3+(13.7+n)*319.5-1.2[3628+1057n+(285n+3.7n^2)*(285n+1.24n^2)/(285+3.73n)] >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
862 + 587 * n + ( 213.6 * n + 22 * n ^ 2 ) * ( 213.6 * n + 22 * n ^ 2 ) / ( 427 + 22 * n ) + ( 1.5 + n ) * 41.3 + ( 13.7 + n ) * 319.5 - 1.2 * ( 3628 + 1057 * n + ( 285 * n + 3.7 * n ^ 2 ) * ( 285 * n + 1.24 * n ^ 2 ) / ( 285 + 3.73 * n ) ) >= 0 (1)
From the definition field of divisor
427 + 22 * x ≠ 0 (2 )
From the definition field of divisor
285 + 3.73 * x ≠ 0 (3 )
From inequality(1):
-76.47977 ≤ n ≤ -76.407507 或 -19.409091 ≤ n ≤ -16.235059 或 -2.550115 ≤ n ≤ 1.488735 或 n ≥ 14.523844
From inequality(2):
n < -427/22 或 n > -427/22
From inequality(3):
n < -76.407507 或 n > -76.407507
From inequalities (1) and (2)
-76.47977 ≤ n ≤ -76.407507 或 -427/22 < n ≤ -16.235059 或 -2.550115 ≤ n ≤ 1.488735 或 n ≥ 14.523844 (4)
From inequalities (3) and (4)
-76.47977 ≤ n < -76.407507 或 -427/22 < n ≤ -16.235059 或 -2.550115 ≤ n ≤ 1.488735 或 n ≥ 14.523844 (5)
The final solution set is :
-76.47977 ≤ n < -76.407507 或 -427/22 < n ≤ -16.235059 或 -2.550115 ≤ n ≤ 1.488735 或 n ≥ 14.523844Your problem has not been solved here? Please take a look at the hot problems !