SOLUTION: I made a mistake in posting my original problem sorry..here is the correct one Given p is true, q is true, and r is false. find the truth value of the statement: ~p -> (q v ~ r)

Question 261282: I made a mistake in posting my original problem sorry..here is the correct one
Given p is true, q is true, and r is false. find the truth value of the statement: ~p -> (q v ~ r)
Show step by step work so I can use as example for other problems...
Thanks in advance soooo much..
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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
RELATED QUESTIONS
Given p is true, q is false, and r is true, find the truth value of the statement (~p ^... (answered by jim_thompson5910)

In Exercises 31�42, determine the truth value of the statement if � a) p is true, q is... (answered by stanbon)

Given p is true, q is true, and r is false, find the truth value of the statement. Please (answered by solver91311)

Determine the truth value of the statement not q if and only if [ not r and (p or q)]... (answered by solver91311)

Determine the truth value of the following statement if (a) p is true, q is false, and r (answered by solver91311)

P is True, q and r are False- find the truth value. a) (p ^ ~q) ^ r b)... (answered by Edwin McCravy)

Given p is true, q is true, and r is false, find the truth value of the statement: ~ p... (answered by drk,solver91311)

If p is true, q is true, and r is false, then the truth value of ~[~(p^r) V ~q] is ?... (answered by jim_thompson5910)