Question

Linear Inequations -3 < x/2 - 1 < 1, x ∈ Z

Answer 1

Answer:

I need to sketch this region {z∈C||z−i|≤|z−1|}{z∈C||z−i|≤|z−1|}. I'd like some assistance with solving this inequality because I think that's where I'm going wrong.

To solve the inequality I'm squaring both sides and trying to solve for that. Similar to this post.

(z−i)2≤(z−1)2(z−i)2≤(z−1)2

0≤(z−1)2−(z−i)20≤(z−1)2−(z−i)2

0≤((z−1)−(z−i))((z−1)+(z−i))0≤((z−1)−(z−i))((z−1)+(z−i))

0≤(−1+i)(2z−1−i)0≤(−1+i)(2z−1−i)

0≤−2z+2zi+−i2+1