Question

If P is true, Q is false, and R is true, find the truth value of the statement: (~P V Q-> ~ Q)

Answer 1

A -> B is true if
A true, B true
A false, B true
A false, B false
and false otherwise (i.e., when A true, B false)

Hence for your statement
(~P V Q-> ~ Q)
determine the truth value of both sides of the implication sign -> and compare with the table above

Answer 2

Thank you so much for your help:)

Answer 3

The other way to do this problem is to use the fact that
A->B
is logically equivalent to
~(A^~B).

Hence
(~P V Q-> ~ Q)
is equivalent to
~((~P V Q)^~~Q)
equiv to
~((~P v Q)^Q)
equiv to
~Q