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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (155.7+18.19*n)*(155.7*3+36.38*n)/(155.7*2+36.38n)*n/3-1212.32-577.07*n >1.2*(238.26*n+6.89*n*n)*(238.26*3+13.77*n)/(238.26*2+13.77*n)*n/3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 155.7 + 18.19 * n ) * ( 155.7 * 3 + 36.38 * n ) / ( 155.7 * 2 + 36.38 * n ) * n / 3 - 1212.32 - 577.07 * n >1.2 * ( 238.26 * n + 6.89 * n * n ) * ( 238.26 * 3 + 13.77 * n ) / ( 238.26 * 2 + 13.77 * n ) * n / 3 (1)
From the definition field of divisor
155.7 * 2 + 36.38 * x ≠ 0 (2 )
From the definition field of divisor
238.26 * 2 + 13.77 * x ≠ 0 (3 )
From inequality(1):
n < -45.990875 或 -34.605664 < n < -34.563261
From inequality(2):
n < -8.559648 或 n > -8.559648
From inequality(3):
n < -34.605664 或 n > -34.605664
From inequalities (1) and (2)
n < -45.990875 或 -34.605664 < n < -34.563261 (4)
From inequalities (3) and (4)
n < -45.990875 或 -34.605664 < n < -34.563261 (5)
The final solution set is :
n < -45.990875 或 -34.605664 < n < -34.563261 Your problem has not been solved here? Please take a look at the hot problems !