SOLUTION: Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. p (qV~r) True or False

Algebra ->  Conjunction -> SOLUTION: Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement. p (qV~r) True or False       Log On


   

Question 414849: Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.
p (qV~r)

True or False

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


given:
p is true(T), q is true(F), and r is false,(F)

since p is (T), ~p is false (F)
and since r is false then ~r is true (T)
(q V ~r) is true (T) since q is (F) and ~r is true (T)

so
p ->(q V ~r) becomes T ->Twhich yields T

so the truth value of p -> (q V ~r) is "T"