Mathematical Logic And Boolean Algebra Question 60
Question: If $ p\Rightarrow (q\vee r) $ is false, then the truth values of $ p,q,r $ are respectively
Options:
A) $ T,F,F $
B) $ F,F,F $
C) $ F,T,T $
D) $ T,T,F $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ p\Rightarrow q $ is false only when p is true and q is false.
$ \therefore p\Rightarrow q $ is false when p is true and $ q\vee r $ is false, and $ q\vee r $ is false when both q and r are false.