Mathematical Logic And Boolean Algebra Question 52
Question: The inverse of the statement $ (p\wedge \tilde{\ }q)\to r $ is
Options:
A) $ \tilde{\ }(p\vee \tilde{\ }q)\to \tilde{\ }r $
B) $ (\tilde{\ }p\wedge q)\to \tilde{\ }r $
C) $ (\tilde{\ }p\vee q)\to \tilde{\ }r $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[c] The inverse of the proposition $ (p\wedge \tilde{\ }q)\to r $ is $ \tilde{\ }(p\wedge \tilde{\ }q)\to \tilde{\ }r $ $ \equiv \tilde{\ }p\vee \tilde{\ }(\tilde{\ }q)\to \tilde{\ }r $ $ \equiv \tilde{\ }p\vee q\to \tilde{\ }r $
BETA
