Question

Given p is false, q is true , and r is true, find the truth value of the statement
(p V~q) <--> ~r.
Show step by Use Keep shortcuts of  for , < - - > for < - -> , V for V and ^ for ^, if needed,
please help!

Answer 1

for those particular choices of p,q,r the statement is true

Answer 2

http://www.wolframalpha.com/input/?i=%28p+or+not+q%29+%3C-%3E+not+r

Find the row corresponding to your inputs.

Answer 3

We have:
(not (p or not q) or not r) and ((p or not q) or r)

Substitute values
(not (FALSE or not TRUE) or not TRUE) and ((FALSE or not TRUE) or TRUE)
(not FALSE or not TRUE) and (FALSE or TRUE)
(TRUE or FALSE) and (FALSE or TRUE)
TRUE and TRUE
TRUE

Answer 4

(F or ~T)<=>~T
(F or F)<=>F
F<=>F
T

A<=>B
is true if A and B are the same

so T<=>T is true
and F<=>F is true

F<=>T is False
T<=>F is false