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The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set

  1. $(0,3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$
  2. $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2}, \infty)$
  3. $(- \infty, 3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$
  4. $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2},3-2\sqrt{2}) \cup (3+2 \sqrt{2}, \infty )$
in Numerical Ability by Veteran (431k points)
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getting $b$?

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