Choose the symbolic notation translation of the following statements that captures as closely as possible the logical structure of each statement.
it will rain tomorrow and we will not go to the beach.
r v ~ b
r ⊃~ b
r · ~ b
~ r · ~ b
the food is overcooked or my taste buds are ruined.
f v ~ t
f · ~ t
f · t
f v t
your cough is not getting any better.
~ c
~ c v b
~ c · b
~ (c v b)
my car looks great, but it does not get good gas mileage.
c v ~ g
c ⊃~ g
c · ~ g
~ c · ~ g