SOLUTION: 1. ~M 2. (~M∙~N)>(Q>P) 3. ~N 4. P>R :. Q>R

Question 594158: 1. ~M
2. (~M∙~N)>(Q>P)
3. ~N
4. P>R :. Q>R
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

1.   ~M
2.   (~M ∙ ~N) > (Q > P)
3.   ~N
4.   P > R                       :. Q > R
-------------------------------------------------------
5.   ~M ∙ ~N                              1,3       Conjunction
6.   Q > P                                2,5       Modus Ponens
7.   Q > R                                6,4       Hypothetical Syllogism

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SOLUTION: 1. ~M 2. (~M&#8729;~N)>(Q>P) 3. ~N 4. P>R :. Q>R

SOLUTION: 1. ~M 2. (~M∙~N)>(Q>P) 3. ~N 4. P>R :. Q>R