1. You will have to go there, won't you?

2. You must solve the problem, mustn't you?
3. You shall leave for the city, shan't you?
4. Jacob had better go there, hadn't he?
5. Emily should have come earlier, shouldn't she?
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Are the tag questionsl all grammatical?

Not all only 1 4 5

2 and 3 are correct in British English, but not used in American English.

All the others are fine.

Yes, all of the tag questions in the given examples are grammatically correct. Tag questions are short interrogative phrases added at the end of declarative statements to seek confirmation or agreement from the listener. They typically consist of an auxiliary verb (such as "will," "must," "shall," "had," or "should") and a personal pronoun.

To confirm whether a tag question is grammatically correct, you generally need to follow these rules:

1. Use the correct auxiliary verb: The auxiliary verb in the tag question should match the main verb in the declarative statement.
2. Use the appropriate subject-verb agreement: The personal pronoun in the tag question should correlate with the subject of the declarative statement.
3. Maintain the polarity of the main statement: If the main statement is positive, the tag question should be negative (and vice versa).

Here's the breakdown for each tag question to understand how they conform to these rules:

1. "You will have to go there, won't you?"
- The auxiliary verb "will" matches the main verb "have."
- The pronoun "you" matches the subject of the declarative statement.
- The polarity of the main statement is positive, so the tag question is negative.

2. "You must solve the problem, mustn't you?"
- The auxiliary verb "must" matches the main verb "solve."
- The pronoun "you" matches the subject of the declarative statement.
- The polarity of the main statement is positive, so the tag question is negative.

3. "You shall leave for the city, shan't you?"
- The auxiliary verb "shall" matches the main verb "leave."
- The pronoun "you" matches the subject of the declarative statement.
- The polarity of the main statement is positive, so the tag question is negative.

4. "Jacob had better go there, hadn't he?"
- The auxiliary verb "had" matches the main verb "go."
- The pronoun "he" matches the subject of the declarative statement.
- The polarity of the main statement is positive, so the tag question is negative.

5. "Emily should have come earlier, shouldn't she?"
- The auxiliary verb "should" matches the main verb "have come."
- The pronoun "she" matches the subject of the declarative statement.
- The polarity of the main statement is positive, so the tag question is negative.

Remember, tag questions can be a helpful way to seek confirmation or invite agreement in conversation.