Let S_1, S_2 and S_3 be three sets defined as S_1={z ∈ C:|z-1| ≤ √ 2 }; S_2={z ∈ C: Re ((1- i ) z) ≥ 1}; S_3={z ∈ C: Im (z) ≤ 1} Then the set S_1 ∩…

Let $\displaystyle \mathrm{S}_1, \mathrm{~S}_2$ and $\displaystyle \mathrm{S}_3$ be three sets defined as $$\begin{aligned} & S_1=\{z \in \mathbb{C}:|z-1| \leq \sqrt{2}\} \\ & S_2=\{z \in \mathbb{C}: \operatorname{Re}((1-\mathrm{i}) z) \geqslant 1\} \\ & S_3=\{z \in \mathbb{C}: \operatorname{Im}(z) \leq 1\} \end{aligned} $$ Then the set $\displaystyle \mathrm{S}_1 \cap \mathrm{~S}_2 \cap \mathrm{~S}_3$