Question

i'm really having a hard time with these truth tables ~q->(~p V q)

Answer 1

always start out with a positive; in this case a q

Answer 2

q
t
f

now lets determine p and -p

q p -p
t t f
t f t
f t f
f f t

Answer 3

determine -pOq , i use O to see that its an "or"

-p q -pOq
f t t
t t t
f t t
t t t
f f f
t f t
f f f
t f t

Answer 4

now situate it so that you can determine -q -> (-pOq)

-q -pOq
f t
f t
f t
f t
f f
f t
f f
f t
t t
t t
t t
t t
t f
t t
t f
t t

im gonna delete the redundant terms


-q -pOq -q ->(-pOq)
f t t
f f t
t t t
t f f

Answer 5

Thank you for showing me the steps