Question 261282
Some things to remember:


1) ~p is the opposite of p. So if p is true, then ~p is false (or vice versa).

2) p v q is true when either p or q is true (or both are true)

3) p -> q is only false when p is true, but q is false. Otherwise, it is true.





~p -> (q v ~ r)  ... Start with the given compound statement



~T -> (T v ~ F)  ... Plug in T for p (true), T for q (true), and F for r (false)



F -> (T v T) ... Evaluate ~T to get F. Evaluate ~F to get T



F -> T ... Evaluate T v T to get T



T ... Evaluate F -> T to get T



So ~p -> (q v ~ r) is true when p is true, q is true, and r is false