All statements are sentences but not all sentences are statements.9 Using examples discuss thetruth or falsity of this claim

The claim "All statements are sentences but not all sentences are statements" is true. Here's why:

1. Definition of a Statement: A statement is a sentence that is either true or false, i.e., it asserts something that is either correct or incorrect. For example, "The sky is blue" is a statement because it can be verified and confirmed as true.

2. Definition of a Sentence: A sentence, in the grammatical sense, is a set of words that is complete in itself, typically containing a subject and predicate, conveying a statement, question, exclamation, or command. For example, "Is the sky blue?" is a sentence, but it is not a statement because it does not assert something as true or false, it asks a question.

3. Therefore, while all statements are sentences (because they are complete thoughts that contain a subject and predicate), not all sentences are statements (because they may ask a question, give a command, or express an exclamation rather than asserting something as true or false).

So, the claim is true.