3 Consider the following graph in which the arcs are straight lines.
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- Explain how you know that the graph is simple.
- Explain how you know that the graph is not connected.
- On the copy of the graph in your answer book, add as many arcs as you can whilst keeping it both simple and not connected. Give the number of arcs which you have added.
- Imagine that a new graph is produced in which two vertices are connected if there is no connection between them, direct or indirect, on the original graph. How many arcs would this new graph have?