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1976 AMC 12 Question 7

AMC12 · 1976 AMC 12

Question 7

If $x$ is a real number, then the quantity $(1-|x|)(1+x)$ is positive if and only if
  1. $|x|\lt1$
  2. $x\lt1$
  3. $|x|\gt1$
  4. $x\lt-1$
  5. $x\lt-1$ or $-1\lt x\lt1$