SOLUTION: Very lost, can somebody please help me finish this proof? 1. (N > K) & (S > L) 2.(N > O) &(G > N) 3. (O > N) & (R > G) 4. O v R 5. ~N / K v L What I have so far...

Algebra ->  Proofs -> SOLUTION: Very lost, can somebody please help me finish this proof? 1. (N > K) & (S > L) 2.(N > O) &(G > N) 3. (O > N) & (R > G) 4. O v R 5. ~N / K v L What I have so far...       Log On


   



Question 980294: Very lost, can somebody please help me finish this proof?
1. (N > K) & (S > L)
2.(N > O) &(G > N)
3. (O > N) & (R > G)
4. O v R
5. ~N
/ K v L
What I have so far...
6. N > K Simp. line 1
7. N > O Simp. line 2
8. O > N Simp. line 3
9. N v G CD line 3 and 4
10. G DS line 5 and 9
I'm extremely lost...can anybody guide me in the right direction?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
NumberStatementLines UsedReason
1(N > K) & (S > L)
2(N > O) & (G > N)
3(O > N) & (R > G)
4O v R
5~N
:.K v L
6N v G3,4Constructive Dilemma
7O v N2,6Constructive Dilemma
8N v O7Commutation
9O8,5Disjunctive Syllogism
10O > N3Simplication
11N10,9Modus Ponens
12N v S11Addition
13K v L1,12Constructive Dilemma