Mathematical Logic And Boolean Algebra Question 24
Question: The contrapositive of the inverse of $ p\Rightarrow \tilde{\ }q $ is
Options:
A) $ \tilde{\ }q\Rightarrow p $
B) $ p\Rightarrow q $
C) $ \tilde{\ }q\Rightarrow \tilde{\ }p $
D) $ \tilde{\ }p\Rightarrow \tilde{\ }q $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] The inverse of $ p\Rightarrow \tilde{\ }q $ is $ \tilde{\ }p\Rightarrow q. $ The contrapositive of $ \tilde{\ }p\Rightarrow q $ is $ \tilde{\ }q\Rightarrow p. $ [ $ \because $ Contrapositive of $ p\Rightarrow q $ is $ \tilde{\ }q\Rightarrow \tilde{\ }p $ ].
BETA
