SOLUTION: Doing logic problems and I got this one and I just blanked. 1. ~X > C 2. ~J > [(~Q >C) > (~J>~C)] 3. ~Q > ~X 4. ~J Conclusion: ~~Q The 2nd line is confusing me on where

Algebra ->  Proofs -> SOLUTION: Doing logic problems and I got this one and I just blanked. 1. ~X > C 2. ~J > [(~Q >C) > (~J>~C)] 3. ~Q > ~X 4. ~J Conclusion: ~~Q The 2nd line is confusing me on where      Log On


   



Question 979812: Doing logic problems and I got this one and I just blanked.
1. ~X > C
2. ~J > [(~Q >C) > (~J>~C)]
3. ~Q > ~X
4. ~J
Conclusion: ~~Q
The 2nd line is confusing me on where to go...

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
NumberStatementLines UsedReason
1.~X > C
2.~J > [(~Q > C) > (~J > ~C)]
3.~Q > ~X
4.~J
:.~~Q
5.(~Q > C) > (~J > ~C)2,4Modus Ponens
6.~Q > C3,1Hypothetical Syllogism
7.~J > ~C5,6Modus Ponens
8.~C7,4Modus Ponens
9.~~X1,8Modus Tollens
10.~~Q3,9Modus Tollens