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2001 AMC 10 Question 2

AMC10 · 2001 AMC 10

Question 2

A number $x$ is $2$ more than the product of its reciprocal and its additive inverse. In which interval does the number lie?
  1. $-4 \le x \le -2$
  2. $-2 \lt x \le 0$
  3. $0 \lt x \le 2$
  4. $2 \lt x \le 4$
  5. $4 \lt x \le 6$