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Assignment:Find the solution set of inequality (197n+20n^2)*(394n+40n^2)/(591+120n)+1045+556n-1.2[(55n+4n^2)*(219n+7.48n^2)/(329+23n)+1972+723n+1551+208n+343+30n+346+24n] >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 197 * n + 20 * n ^ 2 ) * ( 394 * n + 40 * n ^ 2 ) / ( 591 + 120 * n ) + 1045 + 556 * n - 1.2 * ( ( 55 * n + 4 * n ^ 2 ) * ( 219 * n + 7.48 * n ^ 2 ) / ( 329 + 23 * n ) + 1972 + 723 * n + 1551 + 208 * n + 343 + 30 * n + 346 + 24 * n ) >0 (1)
From the definition field of divisor
591 + 120 * x ≠ 0 (2 )
From the definition field of divisor
329 + 23 * x ≠ 0 (3 )
From inequality(1):
-14.304348 < n < -12.444312 或 -4.925 < n < -3.490381 或 n > 9.328415
From inequality(2):
n < -197/40 或 n > -197/40
From inequality(3):
n < -14.304348 或 n > -14.304348
From inequalities (1) and (2)
-14.304348 < n < -12.444312 或 -4.925 < n < -3.490381 或 n > 9.328415 (4)
From inequalities (3) and (4)
-14.304348 < n < -12.444312 或 -4.925 < n < -3.490381 或 n > 9.328415 (5)
The final solution set is :
-14.304348 < n < -12.444312 或 -4.925 < n < -3.490381 或 n > 9.328415Your problem has not been solved here? Please take a look at the hot problems !