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Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?

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Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?

(a) ~P V ~Q

(b) P ∧ ~Q

(c) P V Q

(d) P ∧ Q

The question was asked in class test.

This interesting question is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

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Best answer
The correct choice is (b) P ∧ ~Q

Easy explanation: The second part of the statement is negated, hence negation operator is used.

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