Teaching CSIR NET Mock Test Series Physical Sciences

If z is a complex number, which among the following sets is neither open nor closed?

1
{z| 0 |z - 1| ≤ 2}
2
{z| |z| ≤ 1}
3
{z| z ∈ (ℂ - {3}) and |z| ≤ 100}
4
\(\left\{z \mid z=r e^{i \theta}, 0 \leq \theta \leq \frac{\pi}{4}\right\} \)
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