Answer:
Step-by-step explanation:
We are considering for non-parallel lines and no three intersections
Let's see how many open areas are produced by the lines on a plane
- 1 line = 2 open areas
- 2 line = 4 open areas
- 3 lines = 6 open areas and 1 closed region
- 4 lines = 8 open areas and 3 closed regions
- 5 lines = 10 open areas and 6 closed regions
and so on
We see a pattern of 2n open areas for n lines, so
