Question 594888
Simply plug in the given truth values and evaluate.


Keep in mind the following rules

1) ~p is the opposite of p. So if p is true, then ~p is false. This applies in the other direction. So if p is false, then ~p is true.


2) p ^ q is only true if BOTH p and q are true. Otherwise, it's false.


3) p <--> q is only true if both truth values of p and q are the same.



So let's use these facts to get:



(~p ^ q) <-> ~r


(~T ^ F) <-> ~T


(F ^ F) <-> F


F <-> F


T



So (~p ^ q) <-> ~r is <font color="red">true</font>.