SOLUTION: 1. D 2. ~C 3. (A v B) -> C 4. [(~A • D) • ~B] -> (P -> Q) :. ~P v Q

Algebra ->  Proofs -> SOLUTION: 1. D 2. ~C 3. (A v B) -> C 4. [(~A • D) • ~B] -> (P -> Q) :. ~P v Q      Log On


   



Question 616557: 1. D
2. ~C
3. (A v B) -> C
4. [(~A • D) • ~B] -> (P -> Q) :. ~P v Q

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1. D
2. ~C
3. (A v B) -> C 
4. [(~A • D) • ~B] -> (P -> Q) :. ~P v Q
-------------------------------------------------------
6. ~(A v B)                                    3,2      Modus Tollens
7. ~A • ~B                                     6        De Morgan's Law
8. (~A • ~B) • D                               7,1      Conjunction
9. ~A • (~B • D)                               8        Association
10. ~A • (D • ~B)                              9        Commutation
11. (~A • D) • ~B                              10       Association
12. P -> Q                                     4,11     Modus Ponens
13. ~P v Q                                     12       Material Implication