+22 In the complex plane, let $S$ be the set of complex numbers $z$ such that \[\left| z + \frac{1}{z} \right| \le 2.\]
Find the area of $S.$
Thanks
+22 hmmm im getting $3 \pi,$ anyway i used wolframalpha for \[\left| z + \frac{1}{z} \right| \le 2.\] and I got this
