Question 1036454

If p is false and q is true, determine the truth value of the following:	
<pre>
a)      ~(p ^ q) = ~(F ^ T) =  ~(F) = T
b)	 p v ~q  =   F v ~T = F v F = F 
c)      ~(p &#8594; q) = ~(F &#8594; T) =  ~(F) = T
d)      ~p &#8594; q   =   ~F &#8594; T = T &#8594; T = T
e)	p &#8596; ~q   =   F &#8596; ~T = F &#8596; F = T  

~ is T when followed by F and vice-versa.
^ is T only when it has a T on each side of it, otherwise it's F
v is T unless it has 2 F's on each side of it.
&#8594; is T unless it is a case of T&#8594;F 
</pre>
Use truth tables to determine if p &#8594; q is identical (equivalent) 
to ~p v q
<pre>
p  q  ~p  ~p v q |  p &#8594; q
-----------------|-------
T  T   F     T   |    T      
T  F   F     F   |    F 
F  T   T     T   |    T
F  F   T     T   |    T

They are equivalent because both their truth tables go TFTT.

Edwin</pre>