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Assignment:Find the solution set of inequality (197n+13.3n^2)*(197+20n^2)/(394+40n)+556*(2+n)-979-317n-1.2[(110n+4n^2)*(110n+2.6n^2)/(220+8n)+24*(14.5+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 + 13.3 * n ^ 2 ) * ( 197 + 20 * n ^ 2 ) / ( 394 + 40 * n ) + 556 * ( 2 + n ) - 979 - 317 * n - 1.2 * ( ( 110 * n + 4 * n ^ 2 ) * ( 110 * n + 2.6 * n ^ 2 ) / ( 220 + 8 * n ) + 24 * ( 14.5 + 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 + 8 * x ≠ 0 (3 )
From inequality(1):
-14.76497 ≤ n ≤ -9.85 或 n ≥ 19.831214
From inequality(2):
n < -197/20 或 n > -197/20
From inequality(3):
n < -55/2 或 n > -55/2
From inequalities (1) and (2)
-14.76497 ≤ n < -197/20 或 n ≥ 19.831214 (4)
From inequalities (3) and (4)
-14.76497 ≤ n < -197/20 或 n ≥ 19.831214 (5)
The final solution set is :
-14.76497 ≤ n < -197/20 或 n ≥ 19.831214Your problem has not been solved here? Please take a look at the hot problems !