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Assignment:Find the solution set of inequality (-2*x)/(9-x)+(-x+1)/(4-x) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -2 * x ) / ( 9 - x ) + ( -x + 1 ) / ( 4 - x ) >0 (1)
From the definition field of divisor
9 - x ≠ 0 (2 )
From the definition field of divisor
4 - x ≠ 0 (3 )
From inequality(1):
x < 0.55051 或 4 < x < 5.44949 或 x > 9
From inequality(2):
x < 9 或 x > 9
From inequality(3):
x < 4 或 x > 4
From inequalities (1) and (2)
x < 0.55051 或 4 < x < 5.44949 或 x > 9 (4)
From inequalities (3) and (4)
x < 0.55051 或 4 < x < 5.44949 或 x > 9 (5)
The final solution set is :
x < 0.55051 或 4 < x < 5.44949 或 x > 9Your problem has not been solved here? Please take a look at the hot problems !