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Assignment:Find the solution set of inequality 0 <(x+1)/(x-1) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < ( x + 1 ) / ( x - 1 ) (1)
( x + 1 ) / ( x - 1 ) <1 (2)
From the definition field of divisor
x - 1 ≠ 0 (3 )
From inequality(1):
x < -1 或 x > 1
From inequality(2):
x < 1
From inequality(3):
x < 1 或 x > 1
From inequalities (1) and (2)
x < -1 (4)
From inequalities (3) and (4)
x < -1 (5)
The final solution set is :
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