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Assignment:Find the solution set of inequality 5x/(7x-2) >x/(x+1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
5 * x / ( 7 * x - 2 ) > x / ( x + 1 ) (1)
From the definition field of divisor
7 * x - 2 ≠ 0 (2 )
From the definition field of divisor
x + 1 ≠ 0 (3 )
From inequality(1):
-1 < x < 0 或 0.285714 < x < 7/2
From inequality(2):
x < 2/7 或 x > 2/7
From inequality(3):
x < -1 或 x > -1
From inequalities (1) and (2)
-1 < x < 0 或 0.285714 < x < 7/2 (4)
From inequalities (3) and (4)
-1 < x < 0 或 0.285714 < x < 7/2 (5)
The final solution set is :
-1 < x < 0 或 0.285714 < x < 7/2 Your problem has not been solved here? Please take a look at the hot problems !