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1979 AMC 12 Question 13

AMC12 · 1979 AMC 12

Question 13

The inequality $y-x\lt\sqrt{x^2}$ is satisfied if and only if
  1. $y\lt0$ or $y\lt2x$ (or both inequalities
    hold)
  2. $y\gt0$ or $y\lt2x$ (or both inequalities hold)
  3. $y^2\lt2xy$
  4. $y\lt0$
  5. $x\gt0$ and $y\lt2x$