AMC 10 2001 Problem 2

A number x is 2 more than the product of its reciprocal and its additive inverse. In which interval does the number lie?

Answer Choices
A. -4 \leq x \leq-2
B. -2<x \leq 0
C. 0<x \leq 2
D. 2<x \leq 4
E. 4<x \leq 6