Five neighbours each painted their front door a different colour. Their names are Alex, Holly, Beth, Dana, and Emma. The colours are green, purple, red, orange, and blue.

1. Neither Alex nor Holly painted their door purple.
2. Neither Alex nor Dana painted their door green.
3. Neither Holly nor Emma painted their door blue.
4. Neither Alex nor Dana painted their door blue.
5. Neither Holly nor Beth painted their door green.
6. Alex painted their door red.