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