Whats an example of a fragment and a run on sentence.

A sentence fragment is an incomplete sentence that cannot stand by itself because there is a subject and/or a main verb missing. Unless they are used to convey a certain style, sentence fragments should be avoided because they are gramatically incorrect. Examples of sentence fragments are "swam by the river" or "Throughout the novel, the author". On the other hand, a run-on sentence is a sentence that contains two or more independent clauses that have been connected in an improper way. Examples of run-on sentences are "My sister is sick we are not going to the beach" "I studied for the test I arrived late".  

it is an infinitive phrase with a subject.

in "people in peace, not profit and war" chrisholm uses inductive reasoning for her argument against defense spending by stating that the new administration, like most americans, wanted to invest in social objectives, so they must not want to prioritize defense spending. mr. nixon said "we can delay no longer in launching new approaches to the problem that beset them", but chrisholm points out that the programs were delayed anyways.