丨x-1丨+丨2x+1丨<2如果x<-1/2:1-x-2x-1<2-3x<2x>2/3,与x<-1/2矛盾,无解;如果-1/2≤x<11-x+2x+1<2x<0∴-1/2≤x<0如果x≥1:x-1+2x+1>23x>2x>2/3∴x≥1综上:-1/2≤x<0,或x≥1
当x>1时,x-1+2x+1<2 x<2/3当-1/2当x<-1/2时 1-x-2x-1<2 x>-2/3