Let $S_1, S_2$ and $S_3$ be three sets defined as $S_1 = \{z \in C : |z - 1| \le \sqrt{2}\}$ ,$S_2 = \{z \in C : \text{Re}((1 - i)z) \ge 1\}$ $S_3 = \{z \in C : \text{Im}(z) \le 1\}$ Then the set $S_1 \cap S_2 \cap S_3$