Question

 𝐴 = { 𝑧 ∈ ℂ:|𝑧| < 1 𝑣𝑒 |𝑧 − 1/ 2 | > 1 /2 } ∪ { 1/ 2 } denote the set in the complex plane and

𝐴 ′ and 𝜕𝐴 = 𝐴̅ \ 𝐴𝑜

Write the set.

Answer 1

the set in the complex plane:

Write the set:

$\overline{A} = \{ z \in \Complex : |z| \ge 1; |z-\frac{1}{2}| \le \frac{1}{2} \} \setminus \{ \frac{1}{2} \} \newline \partial A = \{ z \in \Complex : |z| = 1; |z - \frac{1}{2}| = \frac{1}{2} \}$