不等式|(x+1)/(x-1)|
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不等式|(x+1)/(x-1)|不等式|(x+1)/(x-1)|不等式|(x+1)/(x-1)|方法一:|(x+1)/(x-1)||(x+1)/(x-1)||1+2/(x-1)|=>2/(x-1)x∵
不等式|(x+1)/(x-1)|
不等式|(x+1)/(x-1)|
不等式|(x+1)/(x-1)|
方法一:
|(x+1)/(x-1)|
|(x+1)/(x-1)|<1
| 1+ 2/(x-1)|<1
=> 2/(x-1) < 0
x < 1 #
∵|(x+1)/(x-1)|<1 ∴（x+1)/(x-1)<1 且 (x+1)/(x-1)>-1
当（x+1)/(x-1)<1 （x+1)/(x-1)-1<0 2/(x-1)<0 ∴x-1<0 x<1
当(x+1)/(x-1)>-1 (x+1)/(x-1)+1>0 2x/(x-1)>0 转化为
2x>0 且x-1>0 或2x<0 且x-1<0 ∴x>1或x<0
∴不等式|(x+1)/(x-1)|<1的解集为x<0