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