current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (218n+18n^2)*(218.3n+12.5n^2)/(436+37.5n)+(1.75+n)*520-1.2[(91n+4.5n^2)*(182.2n+3n^2)/(364.4+9n)+(2.2+n)*719+(6.6+n)*220+55*(10.3+n)+(14+n)*17 ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 218 * n + 18 * n ^ 2 ) * ( 218.3 * n + 12.5 * n ^ 2 ) / ( 436 + 37.5 * n ) + ( 1.75 + n ) * 520 - 1.2 * ( ( 91 * n + 4.5 * n ^ 2 ) * ( 182.2 * n + 3 * n ^ 2 ) / ( 364.4 + 9 * n ) + ( 2.2 + n ) * 719 + ( 6.6 + n ) * 220 + 55 * ( 10.3 + n ) + ( 14 + n ) * 17 ) >= 0 (1)
From the definition field of divisor
436 + 37.5 * x ≠ 0 (2 )
From the definition field of divisor
364.4 + 9 * x ≠ 0 (3 )
From inequality(1):
-40.488889 ≤ n ≤ -30.966176 或 -23.968209 ≤ n ≤ -12.027118 或 -11.626667 ≤ n ≤ -4.284137 或 n ≥ 10.832306
From inequality(2):
n < -11.626667 或 n > -11.626667
From inequality(3):
n < -1822/45 或 n > -1822/45
From inequalities (1) and (2)
-40.488889 ≤ n ≤ -30.966176 或 -23.968209 ≤ n ≤ -12.027118 或 -11.626667 < n ≤ -4.284137 或 n ≥ 10.832306 (4)
From inequalities (3) and (4)
-1822/45 < n ≤ -30.966176 或 -23.968209 ≤ n ≤ -12.027118 或 -11.626667 < n ≤ -4.284137 或 n ≥ 10.832306 (5)
The final solution set is :
-1822/45 < n ≤ -30.966176 或 -23.968209 ≤ n ≤ -12.027118 或 -11.626667 < n ≤ -4.284137 或 n ≥ 10.832306Your problem has not been solved here? Please take a look at the hot problems !