1. (2004 National College Entrance Examination Chongqing Paper) The solution set of the inequality $x+\frac{2}{x+1}>2$ is
A. $(-1,0) \cup(1,+\infty)$
B. $(-\cdots,-1) \cup(0,1)$
C. $(-1,0) \cup(0,1)$
D. $(-\infty,-1) \cup(1,+\infty)$
1. A Hint: The original inequality is transformed into $\frac{x(x-1)}{x+1}>0$, and using the root marking method on the number line yields the answer.