Which of the following sentences are statements in logic? Justify your

1.	Which of the following sentences are statements in logic? Justify your answer.i \(\pi\) is a real number.ii. 5! = 120iii. Himalaya is an ocean and Ganga is a river.iv. Please get me a cup of tea.v. Bring me a notebook.vi. Alas ! We lost the matchvii. cos 2\(\theta\) = cos2\(\theta\) -sin2\(\theta\), for all \(\theta\) \(\in\) R.viii. If x is a real number then x2 \(\geq\) 0.
Answer» i. It is a statement. ii. It is a statement. iii. It is a statement. iv. It is an imperative sentence, hence it is not a statement. v. It is an imperative sentence, hence it is not a statement. vi. It is an exclamatory sentence, hence it is not a statement. vii. It is a statement. viii. It is a statement.

Which of the following sentences are statements in logic? Justify your answer.i \(\pi\) is a real number.ii. 5! = 120iii. Himalaya is an ocean and Ganga is a river.iv. Please get me a cup of tea.v. Bring me a notebook.vi. Alas ! We lost the matchvii. cos 2\(\theta\) = cos2\(\theta\) -sin2\(\theta\), for all \(\theta\) \(\in\) R.viii. If x is a real number then x2 \(\geq\) 0.

Answer»

i. It is a statement.

ii. It is a statement.

iii. It is a statement.

iv. It is an imperative sentence, hence it is not a statement.

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

vi. It is an exclamatory sentence, hence it is not a statement.

vii. It is a statement.

viii. It is a statement.