Translate each of the following English sentences into the truth-functional symbolic language we have learned; where ‘p’= “Logic is easy,” ‘q’ = “Logic is fun,” and ‘r’ = “Symbols can be used.”

1. Logic is fun, but symbols cannot be used.
2. Logic is not fun unless symbols can be used.
3. Logic is fun only if symbols can be used.
4. Logic is easy, and logic is fun if symbols can be used.
5. Logic is not fun if symbols cannot be used.
6. Symbols can be used, or it is not the case that logic is easy.
7. Logic is fun if and only if it is easy.
8. Logic is neither easy nor fun.
9. It isn’t true that symbols cannot be used.
10. Logic isn’t easy if and only if symbols can’t be used.
11. Logic is fun, but it isn’t easy.
12. Logic is easy; moreover, it is fun.
13. Either symbols can be used, or logic is easy but not fun.
14. Logic is easy, and if symbols can be used, it is fun.
15. Symbols can be used, but logic is neither easy nor fun.


I can't help but admire the perverse mind which came up with this.