|x-1|+1/(x+1)>x-1+1/(x+1)转化为:|x-1>x-1|①当x>1时,x-1>x-1,无解②当x<1时,1-x>x-1,解得x<1 x+1≠0 解得x≠-1综上x<1且x≠-1
原不等式可化为x-1<|x-1|当x>1时,x-1当x<1时,x-1<1-x,解得x<1
不等式|x-1|+1/(x+1)>x-1+1/(x+1)的解集是?解:消去1/(x+1)得同解不等式:|x-1|>x-1;因此必有x-1<0,即{x|x<1}为原不等式的解集。