Mathematical-Logic-And-Boolean-Algebra Question 161
If p and q are two statements then $ (p \rightarrow \neg q) $ is true when-
Options:
A) p and q both are true
B) p and q both are false
C) p is false and q is true
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
We know that $ prightarrow q $ is true if p and q are both true or both false. So $ prightarrow \tilde{\ }q $ is true when p and $ \tilde{\ }q $ are both true. i.e., p is true and q is false. Or p and $ \tilde{\ }q $ are both false, i.e. p is false and q is true.
BETA
