当x为何值时,分式2x-1/x+1的值大于1?小于1?
问题描述:
当x为何值时,分式2x-1/x+1的值大于1?小于1?
答
(2x-1)/(x+1)>1
(2x-1)/(x+1)-(x+1)/(x+1)>0
(x-2)/(x+1)>0
∴﹛x-2>0,x+1>0或﹛x-2<0,x+1<0
∴x>2或x<-1
(2x-1)/(x+1)<1
(x-2)/(x+1)<0
∴-1<x<2