1.

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.

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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