Explanations:Modal auxiliary verbs are a type of auxiliary verb that are used to express various meanings such as ability, permission, obligation, and prohibition. In the context of the given sentence, "You aren't allowed to exceed the speed limit," the modal auxiliary verb "aren't allowed to" is used to express prohibition. This means that the action of exceeding the speed limit is not permitted.
Let's break down the concept of modal auxiliary verbs and their usage in negative statements:
1. **Modal Auxiliary Verbs**: These are auxiliary verbs that are used to express various meanings such as ability, permission, obligation, and prohibition. Common modal auxiliary verbs include "can," "could," "may," "might," "must," "shall," "should," "will," and "would." In this case, "aren't allowed to" is a phrase that functions as a modal auxiliary verb to express prohibition.
2. **Negative Statements**: When forming negative statements with modal auxiliary verbs, the negative form of the verb is used. For example, "can" becomes "cannot" or "can't," "may" becomes "may not," and "must" becomes "must not" or "mustn't." In the case of "aren't allowed to," the negative form of "are" (aren't) is used with "allowed to" to express prohibition.
3. **Prohibition**: Prohibition is the act of forbidding or not allowing something. In English, prohibition can be expressed using modal auxiliary verbs such as "must not," "cannot," "aren't allowed to," and "forbidden." However, "aren't allowed to" is a common and grammatically correct way to express prohibition in this context.
4. **Common Mistakes**: Students often confuse "aren't allowed to" with other modal auxiliary verbs or phrases that express prohibition. For example, "forbidden" is not a modal auxiliary verb and does not fit grammatically in the sentence. Similarly, "aren't banned" is not a common or grammatically correct way to express prohibition. "Must" is used to express obligation or necessity, not prohibition.
In summary, the correct answer is "aren't allowed to" because it is the appropriate modal auxiliary verb phrase to express prohibition in the given context. It clearly indicates that exceeding the speed limit is not permitted.