谁来教我分式不等式化为整式不等式
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(1)
(x^2-x)/(x-1) < (x-3)/(x-1)
(x^2-2x+3)/(x-1) < 0
(x-3)(x+1)/(x-1) <0
x<-1 or 1<x<3
(2)
(x^2-1)/(x-1) >0
(x-1)(x+1)/(x-1) >0
x+1> 0 and x≠1
x>-1 and x≠1
-1<x<1 or x>1
(3)
(x+1)(x-2)/(x-2) >0
x+1 >0 and x≠2
x>-1 and x≠2
-1<x<2 or x>2
(4)
(x-1)(x+2)/(x+2) >0
x-1>0 and x≠-2
x>1 and x≠-2
x>1
(x^2-x)/(x-1) < (x-3)/(x-1)
(x^2-2x+3)/(x-1) < 0
(x-3)(x+1)/(x-1) <0
x<-1 or 1<x<3
(2)
(x^2-1)/(x-1) >0
(x-1)(x+1)/(x-1) >0
x+1> 0 and x≠1
x>-1 and x≠1
-1<x<1 or x>1
(3)
(x+1)(x-2)/(x-2) >0
x+1 >0 and x≠2
x>-1 and x≠2
-1<x<2 or x>2
(4)
(x-1)(x+2)/(x+2) >0
x-1>0 and x≠-2
x>1 and x≠-2
x>1
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追答
(1)
不好意思,错了
(x^2-x)/(x-1) < (x-3)/(x-1)
(x^2-2x+3)/(x-1) < 0
【(x-1)^2+2】/(x-1) <0
x<1
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