SOLUTION: I need help solving this. I'm confused. 1. (RvS)>(T&U) 2. ~R>(V>~V) 3. ~T /Therefore ~V

Algebra ->  Proofs -> SOLUTION: I need help solving this. I'm confused. 1. (RvS)>(T&U) 2. ~R>(V>~V) 3. ~T /Therefore ~V      Log On


   

Question 243966: I need help solving this. I'm confused.
1. (RvS)>(T&U)
2. ~R>(V>~V)
3. ~T /Therefore ~V
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1.  (R v S) -> (T & U)
2.  ~R -> (V -> ~V)
3.  ~T                        /Therefore ~V
------------------------------------------
4.  ~T v ~U                             3         Addition
5.  ~(T & U)                            4         De Morgan's Law
6.  ~(R v S)                            1,5       Modus Tollens
7.  ~R & ~S                             6         De Morgan's Law
8.  ~R                                  7         Simplification
9.  V -> ~V                             2,8       Modus Ponens
10. ~V v ~V                             9         Material Implication
11. ~V                                  10        Tautology