I assume your + means "or". Most teachers and books use
"v" for "or", "&" or "^" for "and". Your book/professor is
not using standard notation. I also assume your > means ⊃ or ->
1. (NvO)⊃P
2. (PvQ)⊃R
3. QvN
4. ~Q /R
5. N 3,4, Disjunctive syllogism
6. NvQ 5, Addition
7. P 1,6, Modus ponens
8. PvQ 7, Addition
9. R 2,9, Modus ponens
Hope I understood your symbols as you intended. If not you
can tell me in the thank-you note form below, and I'll get
back to you by email.
Edwin