1.

State which of the following sentences are statements. Justify your answer.In case of statement, write down the truth value :(i) 5 + 4 = 13.(ii) x – 3 = 14.(iii) Close the door.(iv) Zero is a complex number.(v) Please get me breakfast.(vi) Congruent triangles are also similar.(vii) x2 = x.(viii) A quadratic equation cannot have more than two roots.(ix) Do you like Mathematics ?(x) The sun sets in the west.(xi) All real numbers are whole numbers.(xii) Can you speak in Marathi ?(xiii) x2 – 6x – 7 = 0, when x = 7.(xiv) The sum of cuberoots of unity is zero.(xv) It rains heavily.

Answer»

(i) It is a statement which is false, hence its truth value is ‘F’.

(ii) It is an open sentence, hence it is not a statement.

(iii) It is an imperative sentence, hence it is not a statement.

(iv) It is a statement which is true, hence its truth value is ‘T’.

(v) It is an imperative sentence, hence it is not a statement.

(vi) It is a statement which is true, hence its truth value is ‘T’.

(vii) It is an open sentence, hence it is not a statement,

(viii) It is a statement which is true, hence its truth value is ‘T’.

(ix) It is an interrogative sentence, hence it is not a statement.

(x) It is a statement which is true, hence its truth value is ‘T’.

(xi) It is a statement which is false, hence its truth value is ‘F’.

(xii) It is an interrogative sentence, hence it is not a statement.

(xiii) It is a statement which is true, hence its truth value is ‘T’.

(xiv) It is a statement which is true, hence its truth value is ‘T’.

(xv) It is an open sentence, hence it is not a statement.



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