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## Homework Statement

The complex numbers, z and w satisfy the inequalities |z-3-2i|<=2 and |w-7-5i|<=1

Find the least possible value of |z-w|

## Homework Equations

No clue at all.

## The Attempt at a Solution

Since its |z-w| i figured that the least possible value will only be when both are max. I tried finding the maximum distance of each complex number by using [tex]\sqrt{}(x^2+y^2)[/tex]+r and came up with a Z=[tex]\sqrt{}13[/tex]+2 and W being [tex]\sqrt{}74[/tex]+1

Both of which are incorrect as z-w gives 4 while the answer is 2

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