Mathematical Logic And Boolean Algebra Question 67
Question: Let p, q and r be any three logical statements. Which of the following is true?
Options:
A) $ \tilde{\ }[p\wedge (\tilde{\ }q)]\equiv (\tilde{\ }p)\wedge q $
B) $ \tilde{\ }[(p\vee q)\wedge (\tilde{\ }r)\equiv (\tilde{\ }p)\vee (\tilde{\ }q)\vee (\tilde{\ }r) $
C) $ \tilde{\ }[p\vee (\tilde{\ }q)]\equiv (\tilde{\ }p)\wedge q $
D) $ \tilde{\ }[p\vee (\tilde{\ }q)]\equiv (\tilde{\ }p)\wedge \tilde{\ }q $
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Answer:
Correct Answer: C
Solution:
[c] Statement given in option [c] is correct. $ \tilde{\ }[p\vee (\tilde{\ }q)]=(\tilde{\ }p)\wedge \tilde{\ }(\tilde{\ }q)=(\tilde{\ }p)\wedge q $
BETA
