SOLUTION: please help: if p is true and q is false, what is the truth value of p or q?

Algebra ->  Geometry-proofs -> SOLUTION: please help: if p is true and q is false, what is the truth value of p or q?      Log On


   



Question 1049651: please help:
if p is true and q is false, what is the truth value of p or q?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

by definition:
A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction "p or q" is symbolized by pv q.
A disjunction is false if and only if+both statements are false; otherwise it is true.
The truth values of pv q are listed in the truth table below.
p|q|pv q
T|T|T
T|F|T
F|T|T
highlight%28F%29|+%09highlight%28F%29+|%09highlight%28F%29
so the answer to the question, if p is true and q is false, the truth value of pv q is T