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 (197n+20n^2)*(197n+13.4n^2)/(394+40n)+556*(1.9+n)-980-317n-1.2[(110n+3.9n^2)*(110n+2.6n^2)/(220+7n)+24*(14+n)+36*(11+n)+208*(7.4+n)+728*(2.7+n) ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 197 * n + 20 * n ^ 2 ) * ( 197 * n + 13.4 * n ^ 2 ) / ( 394 + 40 * n ) + 556 * ( 1.9 + n ) - 980 - 317 * n - 1.2 * ( ( 110 * n + 3.9 * n ^ 2 ) * ( 110 * n + 2.6 * n ^ 2 ) / ( 220 + 7 * n ) + 24 * ( 14 + n ) + 36 * ( 11 + n ) + 208 * ( 7.4 + n ) + 728 * ( 2.7 + n ) ) >= 0 (1)
From the definition field of divisor
394 + 40 * x ≠ 0 (2 )
From the definition field of divisor
220 + 7 * x ≠ 0 (3 )
From inequality(1):
-31.428571 ≤ n ≤ -30.796715 或 -15.221878 ≤ n ≤ -5.027687 或 n ≥ 13.458464
From inequality(2):
n < -197/20 或 n > -197/20
From inequality(3):
n < -220/7 或 n > -220/7
From inequalities (1) and (2)
-31.428571 ≤ n ≤ -30.796715 或 -15.221878 ≤ n < -197/20 或 -197/20 < n ≤ -5.027687 或 n ≥ 13.458464 (4)
From inequalities (3) and (4)
-220/7 < n ≤ -30.796715 或 -15.221878 ≤ n < -197/20 或 -197/20 < n ≤ -5.027687 或 n ≥ 13.458464 (5)
The final solution set is :
-220/7 < n ≤ -30.796715 或 -15.221878 ≤ n < -197/20 或 -197/20 < n ≤ -5.027687 或 n ≥ 13.458464Your problem has not been solved here? Please take a look at the hot problems !