SOLUTION: Use truth tables to determine if the following arguments are valid. a) p-> (q V r) p ^ ~r ___________ ____ therefore it is ~q b)p V ~q p -> q ___________ ___

SOLUTION: Use truth tables to determine if the following arguments are valid. a) p-> (q V r) p ^ ~r _____ therefore it is ~q b)p V ~q p -> q _ the

Question 790154: Use truth tables to determine if the following arguments are valid.
a) p-> (q V r)
p ^ ~r
________________
therefore it is ~q
b)p V ~q
p -> q
________________
therefore p <-> q
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

p | q | r | ~q | ~r | q v r | p => (q v r) | p ^ ~r

T   T   T   F    F      T        T             F
T   T   F   F    T      T        T             T
T   F   T   T    F      T        T             F
T   F   F   T    T      F        F             T
F   T   T   F    F      T        T             F
F   T   F   F    T      T        T             F
F   F   T   T    F      T        T             F
F   F   F   T    T      F        T             F

Where p => (q v r) and p ^ ~r are both true, ~q is false.  Invalid argument.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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SOLUTION: Use truth tables to determine if the following arguments are valid. a) p-> (q V r) p ^ ~r ___________ ____ therefore it is ~q b)p V ~q p -> q ___________ ____ the

SOLUTION: Use truth tables to determine if the following arguments are valid. a) p-> (q V r) p ^ ~r _____ therefore it is ~q b)p V ~q p -> q _ the