Mathematical Logic And Boolean Algebra Question 44

Question: If p : It is snowing, q : I am cold, then the compound statement ‘it is snowing and it is not that I am cold’? is given by

Options:

A) $ p\wedge (\tilde{\ }q) $

B) $ p\wedge q $

C) $ (\tilde{\ }p)\wedge q $

D) $ (\tilde{\ }p)\wedge (\tilde{\ }q) $

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Answer:

Correct Answer: A

Solution:

[a] $ p\wedge (\tilde{\ }q) $ shows the compound statement,