Question 484348
~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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Cheers,
Stan H.