Final answer:
Rewrite the sentence 'Matt rushed out the door without eating breakfast' with a nonrestrictive element by adding 'Matt, who had not eaten breakfast, rushed out the door.' The nonrestrictive clause is set off with commas, indicating that it can be omitted without altering the core meaning of the sentence.
Step-by-step explanation:
The sentence 'Matt rushed out the door without eating breakfast' can be rewritten with a nonrestrictive element by introducing additional information that is not essential to the main clause, and by using commas to mark off the nonessential clause. For example, one could rewrite the sentence as 'Matt, who had not eaten breakfast, rushed out the door.'
This rewritten sentence includes the nonrestrictive clause 'who had not eaten breakfast,' which provides extra information about Matt but does not change the overall meaning of the sentence. The commas indicate that this clause could be removed, and the sentence would still make sense: 'Matt rushed out the door.' In formal writing, setting off nonessential information with commas helps clarify the sentence structure and ensure that the reader understands which parts of the sentence are additional details rather than central to the sentence's meaning.