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