Question 569118
A truth value is simply a value that can either be true or false.



Let's use the truth values given to evaluate the logical expression



(p V ~q) ↔ ~r ... Start with the given logical expression


(F V ~T) ↔ ~T ... Plug in p = F, q = T, r = T


(F V F) ↔ F ... Negate T to get F (since ~T = F)


F ↔ F ... Evaluate F v F to get F


T ... Since both sides are equal, the equivalence is true.



So the truth value of (p V ~q) ↔ ~r is T (or True) when p is false, q is true, and r is true



Notes:


1) p V q is only false when both p and q are false (otherwise it's true)


2) p ↔ q is only true if both p and q are of the same truth value (ie when both are either true at the same time or when both are false at the same time)