SOLUTION: Tanisha does not own a convertible or Joan does not own a Volvo Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions t

Algebra ->  Probability-and-statistics -> SOLUTION: Tanisha does not own a convertible or Joan does not own a Volvo Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions t      Log On


   

Question 474447: Tanisha does not own a convertible or Joan does not own a Volvo
Translate each statement into symbols. Then construct a truth table for each and indicate under what conditions the compound statement is true.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
tanisha does not own a convertible can be represented by ~p.
joan does not own a volvo can be represented by ~q.
~p means not p.
if p is true then ~p is false.
if p is false then ~p is true.
in this case ~p is true which means that p is false.
tanisha does not own a convertible is true which means that tanisha owns a convertible is false.
you do not need p or q in this analysis because they are not pertinent to the (~p or ~q) compound statement.
(~p or ~q) means that tanisha does not own a convertible or joan does not own a volvo.
(~p or ~q) is true in all cases except where ~p and ~q are both false.
The truth table shows that below:
       ~p        ~q             (~p v ~q)
        T         T                 T
        T         F                 T
        F         T                 T
        F         F                 F