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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (651.4+25.4n^2)/(977.1+152.4n)+(2.1+n)*837.3+2082.64+323.8-1.2{[(50+3n)*(203n+7n^2)/(304.6+21.8n)]+(2.7+n)*930+(6+n)*241+(12+n)*29+(14+n)*10} >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 651.4 + 25.4 * n ^ 2 ) / ( 977.1 + 152.4 * n ) + ( 2.1 + n ) * 837.3 + 2082.64 + 323.8 - 1.2 * ( ( ( 50 + 3 * n ) * ( 203 * n + 7 * n ^ 2 ) / ( 304.6 + 21.8 * n ) ) + ( 2.7 + n ) * 930 + ( 6 + n ) * 241 + ( 12 + n ) * 29 + ( 14 + n ) * 10 ) >= 0 (1)
From the definition field of divisor
977.1 + 152.4 * x ≠ 0 (2 )
From the definition field of divisor
304.6 + 21.8 * x ≠ 0 (3 )
From inequality(1):
n ≤ -14.057329 或 -13.972477 ≤ n ≤ -1.788655
From inequality(2):
n < -6.411417 或 n > -6.411417
From inequality(3):
n < -13.972477 或 n > -13.972477
From inequalities (1) and (2)
n ≤ -14.057329 或 -13.972477 ≤ n < -6.411417 或 -6.411417 < n ≤ -1.788655 (4)
From inequalities (3) and (4)
n ≤ -14.057329 或 -13.972477 < n < -6.411417 或 -6.411417 < n ≤ -1.788655 (5)
The final solution set is :
n ≤ -14.057329 或 -13.972477 < n < -6.411417 或 -6.411417 < n ≤ -1.788655 Your problem has not been solved here? Please take a look at the hot problems !