The set $\{x \: : \begin{vmatrix} x+\frac{1}{x} \end{vmatrix} \gt6 \}$ equals the set
- $(0,3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$
- $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2}, \infty)$
- $(- \infty, 3-2\sqrt{2}) \cup (3+2\sqrt{2}, \infty)$
- $(- \infty, -3-2\sqrt{2}) \cup (-3+2 \sqrt{2},3-2\sqrt{2}) \cup (3+2 \sqrt{2}, \infty )$