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Assignment:Find the solution set of inequality (2x+3)/(x-3) >(6x-5)/(3x+1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 * x + 3 ) / ( x - 3 ) > ( 6 * x - 5 ) / ( 3 * x + 1 ) (1)
From the definition field of divisor
x - 3 ≠ 0 (2 )
From the definition field of divisor
3 * x + 1 ≠ 0 (3 )
From inequality(1):
-0.333333 < x < 0.352941 或 x > 3
From inequality(2):
x < 3 或 x > 3
From inequality(3):
x < -1/3 或 x > -1/3
From inequalities (1) and (2)
-0.333333 < x < 0.352941 或 x > 3 (4)
From inequalities (3) and (4)
-1/3 < x < 0.352941 或 x > 3 (5)
The final solution set is :
-1/3 < x < 0.352941 或 x > 3Your problem has not been solved here? Please take a look at the hot problems !