SOLUTION: 5. Given p is true, q is false, and r is false, find the truth value of the statement (q V r) ↔ ~p. Show step by step work.

Algebra ->  Permutations -> SOLUTION: 5. Given p is true, q is false, and r is false, find the truth value of the statement (q V r) ↔ ~p. Show step by step work.       Log On


   



Question 322459: 5. Given p is true, q is false, and r is false, find the truth value of the statement (q V r) ↔ ~p.
Show step by step work.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Given p is true, q is false, and r is false, find the truth value of the statement (q V r) ↔ ~p.
Show step by step work.


(q V r) ↔ ~p

Replace  p by T, q by F, and r by F

(F V F) ↔ ~T

Replace F V F by F and replace ~T by F

      F ↔ F

Biconditional is true whenever and only whenever both 
sides of  ↔  , so the answer is

        T

Edwin