Modulus inequalities (Further Maths A Level)

Question:
"z=x+iy
|z-(3+2i)|<|z-6|"

Can someone please explain how I would go about solving this step by step? I can't find a worked example online to try it with this question.

Cheers

Edit: I've got 6x-4y-23<0 after inputting the value of z=x+iy into the equation and replacing the modulus with squaring and rooting. Firstly I don't know whether this is correct and secondly, do I need to anything else to solve it or do I leave it like this?

Can you please post the whole question?

Question:
"z=x+iy
|z-(3+2i)|<|z-6|"

Can someone please explain how I would go about solving this step by step? I can't find a worked example online to try it with this question.

May I quickly ask which FP unit this is from?

For Edexcel old (modular) spec this is FP2.

$|z-a|$ is the distance from fixed complex number $a$ to arbitrary complex number $z$ in the complex plane. So geometrically, the question wants you to find the region of the plane where all the complex numbers (i.e. all the points in the region) are nearer to 3+2i than to 6.

If your teacher is asking for the $(x,y)$ that satisfy the inequality, your answer is correct. I doubt that they're looking for a sketch from the steps that they have provided, and the use of the word "solve".