The conversation between human and AI assistant.
What is the minimum value of |z-1|+|z-5|?
That's interesting. Can you explain to me how you got that answer?
Certainly. The minimum value of |z-1|+|z-5| can be found by locating the point on the number line between 1 and 5 that divides the distance between them in half. This point is 3. So, the minimum value of |z-1|+|z-5| is equal to the sum of the distances from 3 to 1 and from 3 to 5, which is 2+2=4.