Mathematical Logic And Boolean Algebra Question 16
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 ,\sim q $ is $ \sim p\Rightarrow q $ The contrapositive of $ \sim p\Rightarrow q $ is $ \sim q\Rightarrow p. $ [ $ \therefore $ Contrapositive of $ p\Rightarrow q $ is $ \sim q\Rightarrow p. $ ]
BETA
