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Assignment:Find the solution set of inequality (x^2)/3*(110.65+19.41x)*(331.95+38.82x)/(221.3+38.82x) ≥2*(x^2)/5*(75.44+6.404x)*(226.32+12.81x)/(150.88+12.81x)+684.421+203.71x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( x ^ 2 ) / 3 * ( 110.65 + 19.41 * x ) * ( 331.95 + 38.82 * x ) / ( 221.3 + 38.82 * x ) ≥2 * ( x ^ 2 ) / 5 * ( 75.44 + 6.404 * x ) * ( 226.32 + 12.81 * x ) / ( 150.88 + 12.81 * x ) + 684.421 + 203.71 * x (1)
From the definition field of divisor
221.3 + 38.82 * x ≠ 0 (2 )
From the definition field of divisor
150.88 + 12.81 * x ≠ 0 (3 )
From inequality(1):
-6.444726 ≤ x ≤ -3.624624 或 x ≥ 7.495723
From inequality(2):
x < -5.70067 或 x > -5.70067
From inequality(3):
x < -11.778298 或 x > -11.778298
From inequalities (1) and (2)
-6.444726 ≤ x < -5.70067 或 -5.70067 < x ≤ -3.624624 或 x ≥ 7.495723 (4)
From inequalities (3) and (4)
-6.444726 ≤ x < -5.70067 或 -5.70067 < x ≤ -3.624624 或 x ≥ 7.495723 (5)
The final solution set is :
-6.444726 ≤ x < -5.70067 或 -5.70067 < x ≤ -3.624624 或 x ≥ 7.495723Your problem has not been solved here? Please take a look at the hot problems !