This question concerns a dog-walking company called Paw Packers. It collects dogs from their

owners homes and takes them for walks. There are three people who work for the company.

This is the list of dogs that they will walk today:

walkers	dogs
David	Bella, Luna, Bentley
Anita	Nuala, Max, Daisy
Sanjay	Pumpkin, Bandit, Winnie

This is a list of the owners of the dogs. Note that some customers have more than one dog.

Owner	dogs
Malcolm Parker	Bella & Luna
Shanti Laghari	Max
Anne Reynolds	Daisy
Lucy Miggins	Bentley
Stephen Dunlop	Nuala & Pumpkin
Xiuying Cho	Bandit
Sunil Almarri	Winnie

This table shows the town that each customer lives in.

Owner	Location
Malcolm Parker	Bedlington
Shanti Laghari	Forest Hall
Anne Reynolds	Gosforth
Lucy Miggins	Bedlington
Stephen Dunlop	Gosforth
Xiuying Cho	Tynemouth
Sunil Almarri	Gosforth

Use your understanding of set theory to explore this data. Use the set notation taught to demonstrate:

1. How this information can be represented as sets and binary relations, using the notation

2. How composition can be used to find out who will walk Lucy Miggins dog today.

3. How set theory can be used to determine other useful information from this data.

You should explain how you have used set theory