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Which rule of inference is used, ”Bhavika will work in an enterprise this summer. Therefore, this summer Bhavika will work in an enterprise or he will go to beach.”

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Which rule of inference is used, ”Bhavika will work in an enterprise this summer. Therefore, this summer Bhavika will work in an enterprise or he will go to beach.”

(a) Simplification

(b) Conjunction

(c) Addition

(d) Disjunctive syllogism

I had been asked this question in semester exam.

My question is from Logics topic in chapter The Foundation: Logics and Proofs of Discrete Mathematics

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The correct answer is (c) Addition

For explanation I would say: p → (p ∨ q) argument is ‘Addition’.

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