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Which of the following sentences are statements in logic? Justify. Write down the truth value of the statements :(i) 4! = 24.(ii) π is an irrational number.(iii) India is a country and Himalayas is a river.(iv) Please get me a glass of water.(v) cos2θ – sin2θ = cos2θ for all θ ∈ R.(vi) If x is a whole number the x + 6 = 0. |
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Answer» (i) It is a statement which is true, hence its truth value is ‘T’. (ii) It is a statement which is true, hence its truth value is ‘T’. (iii) It is a statement which is false, hence its truth value is ‘F’. ….[T ∧ F ≡ F] (iv) It is an imperative sentence, hence it is not a statement. (v) It is a statement which is true, hence its truth value is ‘T’. (vi) It is a statement which is false, hence its truth value is ‘F’. |
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