truth tables

[dcunited11]

i have no idea how to do this, i just don't understand
this is what i have to do:

make a truth table for
~p V ~q

the first 2 columns are
p q | ~p V ~q
T T
T F
F T
F F

right? i just can't figure out the other ones

 

[Gene]

V means or, one or the other or both
~ means not, changt T to F & F to T
p= I have a dog
~p=I do not have a dog
q = I have a cat
~q=I do not have a cat
First line:
I have a dog (T).
I have a cat (T),
I do not have a dog (F).
I do not have a cat (F).
Both are false, so an F goes in ~p V ~q

Second line:
I have a dog (T),
I have a cat (F).
I do not have a dog (F)
I do not have a cat (T)
One is true, so a T goes in ~p V ~q

Third line.
I have a dog (F)
I have a cat (T).
Same as second but with cat and dog reversed.

Fourth line:
I have a dog (F)
I have a cat (F).
I do not have a dog (T)
I do not have a cat (T).
Both are true so it is T

p q | ~pV~q  
T T |   F      
T F |   T
F T |   T
F F |   T

 

[dcunited11]

thank you so much. you are much more helpful than my professor