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Below is how juxtaposition is used in each sentences:
In the sentence, "City dwellers searching for the peace and serenity only an isolated cottage on a lonely hill can provide; those from a rural background desperate for the excitement and endless possibilities of the capital city", juxtaposition is used to contrast the city dwellers who are actually looking for peace and serenity which can be provided on an isolated cottage on a lonely hill and the rural dwellers who are excited and desperate to have a city life.
Juxtaposition is used here to show what city dwellers want and what the rural dwellers want.
In the sentence, "The freedom of an open rail ticket with no planned destination is appealing yet the thought of arriving in a foreign city with nowhere to stay and no idea where I am frightens me", juxtaposition is used to show a contrast of how having the freedom for an open rail ticket is exciting but at the same time, he gets frightened when he remembers that he has nowhere to stay in that foreign city if he goes with the open rail.
Let's understand what juxtaposition is all about.
Juxtaposition
Juxtaposition is known to be a way in which the fact of two things are placed in such a way that what differentiates them is seen.
The use of juxtaposition is usually used to compare and contrast.
The use of juxtaposition is also necessary when one wants to show the differences and similarities of a situation.
Learn more about juxtaposition on https://brainly.com/question/24421076