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Question 484348: Hello there! I have been trying to attempt to make a truth chart & am completely lost! Can you please help me with the following problem?
~p → (p^~q)
The symbols get me all confused. I'm trying to understand the logic of what the problem is saying...any help would be greatly appreciated.
Thank you.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! ~p → (p ^ ~q)
F:::::::::T::::::F
F:::::::::T::::::T
T:::::::::F::::::F
T:::::::::F;:::::T
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Now figure the ^ column which is T only when both p and ~q are true:
~p → (p ^ ~q)
F:::::::::T::F:::F
F:::::::::T::T:::T
T:::::::::F::F:::F
T:::::::::F::F:::T
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Now figure the "implies" column
which is F only when ~p is T and ^ is F
~p → (p ^ ~q)
F::::T::::T::F:::F
F::::T::::T::T:::T
T::::F::::F::F:::F
T::::F::::F::F:::T
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So the statement is true when p is true.
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Please use Google to search for "truth tables" to get
additional information on this topic. As you can see,
it is very cumbersome to display a solution on this site.
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Cheers,
Stan H.
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