a. Abraham Lincoln has tragically died❤️
It is important to know what your are writing to whom.
emotions should never be used, use proper spelling and punctuation, use full words, avoid using colloquial words/ expressions, avoid using first and second person pronouns, avoid the use of cleche`s.do not write as you would speak, do not start a sentence with a coordinating junction, avoid using the word get.
Newspapers, magazines, journal articles,and business reports are great sources of formal writing.
The answer to the given question above would be the first option. The sentence that corrects the fragment by including it in the subject is the following one: Cities in many areas of the world have hosted the Olympics.
The PP (prepositional phrase) "in many areas of the world" specifies which kind of cities have hosted the Olympics and therefore includes the fragment in the subject. In the second sentence, "have you lived in many areas of the world", functions as the PP complement of the verb "to live". Finally, in the last example, "in many aeras of the world", the PP functions as a modifier of location of the main sentence.
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