Mathematical Logic And Boolean Algebra Question 147
Question: The inverse of the proposition $ (p\ \wedge \tilde{\ }q)\Rightarrow r $ is
Options:
A) $ \tilde{\ }r\Rightarrow \ \tilde{\ }p\vee q $
B) $ \tilde{\ }p\vee q\Rightarrow \ \tilde{\ }r $
C) $ r\Rightarrow p\ \wedge \tilde{\ }q $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Inverse of $ p\Rightarrow q $ is $ \tilde{\ }p\Rightarrow \ \tilde{\ }q $ \ inverse of $ (p\ \wedge \tilde{\ }q)\Rightarrow r $ is $ \tilde{\ }(p\ \wedge \tilde{\ }q)\Rightarrow \ \tilde{\ }r $ i.e. $ (\tilde{\ }p\vee q)\Rightarrow \ \tilde{\ }r $ .
BETA
