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Assignment:Find the solution set of inequality (326n+16.9n^2)*(326n+25n^2)/(652+51n)+837*(2+n)-628-293n-1.2[(101n+3.6n^2)*(101n+2.4n^2)/(203+7n)+10*(14+n)+29*(12+n)+241*(6.1+n)+930*(2.7+n) ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 326 * n + 16.9 * n ^ 2 ) * ( 326 * n + 25 * n ^ 2 ) / ( 652 + 51 * n ) + 837 * ( 2 + n ) - 628 - 293 * n - 1.2 * ( ( 101 * n + 3.6 * n ^ 2 ) * ( 101 * n + 2.4 * n ^ 2 ) / ( 203 + 7 * n ) + 10 * ( 14 + n ) + 29 * ( 12 + n ) + 241 * ( 6.1 + n ) + 930 * ( 2.7 + n ) ) >= 0 (1)
From the definition field of divisor
652 + 51 * x ≠ 0 (2 )
From the definition field of divisor
203 + 7 * x ≠ 0 (3 )
From inequality(1):
-29 ≤ n ≤ -28.734721 或 -19.954372 ≤ n ≤ -13.022687 或 -12.784314 ≤ n ≤ -3.620091 或 n ≥ 8.703078
From inequality(2):
n < -12.784314 或 n > -12.784314
From inequality(3):
n < -29 或 n > -29
From inequalities (1) and (2)
-29 ≤ n ≤ -28.734721 或 -19.954372 ≤ n ≤ -13.022687 或 -12.784314 < n ≤ -3.620091 或 n ≥ 8.703078 (4)
From inequalities (3) and (4)
-29 < n ≤ -28.734721 或 -19.954372 ≤ n ≤ -13.022687 或 -12.784314 < n ≤ -3.620091 或 n ≥ 8.703078 (5)
The final solution set is :
-29 < n ≤ -28.734721 或 -19.954372 ≤ n ≤ -13.022687 或 -12.784314 < n ≤ -3.620091 或 n ≥ 8.703078Your problem has not been solved here? Please take a look at the hot problems !