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1968 AMC 12 Question 16

AMC12 · 1968 AMC 12

Question 16

If $x$ is such that $\dfrac1x\lt2$ and $\dfrac1x\gt-3,$ then:
  1. $-\dfrac13\lt x\lt\dfrac12$
  2. $-\dfrac12\lt x\lt3$
  3. $x\gt\dfrac12$
  4. $x\gt\dfrac12$ or $-\dfrac13\lt x\lt0$
  5. $x\gt\dfrac12$ or $x\lt-\dfrac13$