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Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?

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Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?

(a) ~P V ~Q V R

(b) P ∧ ~Q ∧ R

(c) P V Q ∧ R

(d) P V Q ∧ ~R

The question was asked in my homework.

My question is based upon Logics topic in section The Foundation: Logics and Proofs of Discrete Mathematics

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The correct answer is D

The third part of the statement is negated, hence the negation operator is used, for (‘or’ –V) is used and for(’but’- ∧).

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