M5.A1 Truth Table Exercises          Back-up QUESTION SET                                                 1Premise:P → Q           Conclusion:~P → ~Q                        Answer:                                      PQ                             

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M5.A1 Truth Table Exercises          
Back-up QUESTION SET          
             
             
             
1Premise:P → Q          
 Conclusion:~P → ~Q          
             
 Answer:           
             
             
 PQ          
             
             
             
             
             
             
             
2Premise:P → Q          
 Conclusion:~Q → ~P          
             
 Answer:           
             
             
 PQ          
             
             
             
             
             
             
3Premise:(P & Q) → R          
  Q →  R          
 Conclusion:P →  R          
             
PQR          
             
             
             
             
             
             
             
             
             
             
4Translate the following argument and use truth tables to test for validity.      
       
             
 "If 9 is less than 10 and every odd number less than 10 is divisible by 3, then 9 is divisible by 3. THEREFORE If 9 is less than 10 it is less than 10 it is divisible by 3."
 
 
             
 N = "9 is less than 10"          
 O = "Every odd number less than 10 is divisible by 3."      
 D =  "9 is divisible by 3."          
             
 Premise:           
 Conclusion:           
             
NOD          
             
             
             
             
             
             
             
             
             
5. Translate the following argument and use truth tables to test for validity.    
    
    
 "If it rains tomorrow, I will have a tough commute. If it snows tomorrow, I will have a tough commute. It will either rain or snow tomorrow. THEREFORE I will have a tough commute."
 
 
             
 R ="It rains tomorrow."        
 S ="It snows tomorrow."        
 T ="I will have a tough commute."       
             
 Premise:            
             
             
 Conclusion  ANSWER:       
             
RST          
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
             
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